$$ 6(15) + b = 120 \Rightarrow 90 + b = 120 \Rightarrow b = 30 $$

["Understanding the Equation: $$6(15) + b = 120 \Rightarrow 90 + b = 120 \Rightarrow b = 30$$", "Solving mathematical equations is a fundamental skill in algebra, essential for students, educators, and professionals alike. One clear and straightforward example is the equation $$6(15) + b = 120$$, which simplifies to $$90 + b = 120$$, leading to the solution $$b = 30$$—but what does this really mean? In this SEO-optimized breakdown, we’ll explore the equation step-by-step, explain its components, and highlight its practical importance in everyday problem-solving.", "---", "### Breaking Down the Equation $$6(15) + b = 120$$", "At first glance, the equation $$6(15) + b = 120$$ might look a bit intimidating, but breaking it into smaller parts reveals its clarity.", "- $6(15)$: This multiplication represents calculating 6 times 15, which equals 90.\n- $+ b$: The $+ b$ indicates that the 90 is followed by an unknown variable $b$.\n- $= 120$: The entire expression equals 120, setting up a simple equation to solve for $b$.", "---", "### Step-by-Step Solution", "To isolate $b$, follow these logical steps:", "1. Start with the original equation:\n $$6(15) + b = 120$$\n We know $6 \ imes 15 = 90$, so substitute:\n $$90 + b = 120$$", "2. Isolate $b$ by subtracting 90 from both sides:\n $$b = 120 - 90$$\n $$b = 30$$", "---", "### Real-World Applications of the Equation", "Understanding how to solve equations like $$6(15) + b = 120$$ isn’t just academic—it applies to everyday situations:", "- Budgeting: If a monthly expense includes a fixed cost of $90 plus an unknown variable $b$, and your total budget is $120, calculating $b$ tells you how much remains.\n- Science and Engineering: Many linear models rely on such equations to determine unknown inputs or outputs.\n- Education: Mastering algebra prepares students for STEM fields, finance, and technology careers where analytical thinking is key.", "---", "### Why This Equation Matters in SEO", "When optimizing content around math problems like this, using precise keywords boosts visibility:", "- Target terms like “solve linear equation,” “algebraic steps explained,” and “6 times 15 plus b = 120”\n- Include long-tail phrases that reflect real student queries: “how to solve 6×15 + x = 120”\n- Link related concepts like distributive property, order of operations, and variable isolation", "---", "### Final Answer", "The solution to $$6(15) + b = 120$$ is simply:", "$$b = 30$$", "This means when you multiply 6 by 15 (yielding 90), and add an unknown $b$ to reach 120, the missing value is $30$. Knowing how to manipulate such equations empowers clearer thinking and confident problem-solving.", "---", "Key Takeaways:", "- always simplify multiplications first\n- isolate variables by performing inverse operations\n- real-world contexts make abstract math meaningful\n- clear, accurate explanations improve search rankings", "For more on algebraic problem-solving and learning algebra basics, visit your favorite math resource websites—practice daily to master equations like $$6(15) + b = 120$$ effortlessly!", "---", "Meta Title: Solve $$6(15) + b = 120$$: Step-by-Step Explanation & $b = 30$\nMeta Description: Learn how to solve $$6(15) + b = 120$$ by breaking it down: $90 + b = 120$ → $b = 30$. Perfect for students and math learners.\nKeywords: solve $6(15) + b = 120$, linear equation, algebra, $b = 30$, step-by-step math, real-world algebra, budgeting math equations."]