$ 6(-\frac{14}{3}) + b = 5 \Rightarrow -28 + b = 5 \Rightarrow b = 33 $
["How to Solve $ 6\left(-\frac{14}{3}\right) + b = 5$ — A Clear Step-by-Step Breakdown", "Solving algebraic equations might seem daunting at first, but breaking them down step-by-step can make even complex expressions easy to understand. In this article, we’ll explore how to solve the equation:\n$$6\left(-\frac{14}{3}\right) + b = 5$$\nand arrive at the solution ( b = 33 ). We’ll also explain each step clearly to help you master similar algebraic problems.", "---", "### Step 1: Understand the Equation\nWe begin with:\n$$6\left(-\frac{14}{3}\right) + b = 5$$", "Here, multiplying 6 by $-\frac{14}{3}) is straightforward:\n$$6 \ imes \left(-\frac{14}{3}\right) = -\frac{84}{3} = -28$$", "So the equation simplifies to:\n$$-28 + b = 5$$", "---", "### Step 2: Isolate the Variable ( b )\nTo find ( b ), we isolate it by adding 28 to both sides:\n$$-28 + b + 28 = 5 + 28$$\n$$b = 33$$", "---", "### Why This Solution Matters\nUnderstanding how to isolate variables and simplify expressions is essential in algebra. This particular equation combines fractions, multiplication, and constants — common elements in real-world math applications, from finance to physics. Mastering these steps builds a strong foundation for solving higher-level equations and word problems.", "---", "### Summary of the Solution:\n- Multiply: $6 \ imes \left(-\frac{14}{3}\right) = -28$\n- Simplify: $-28 + b = 5$\n- Isolate ( b ): $b = 33$", "---", "### Final Answer:\n$$b = 33$$", "---", "HTML-Style Embed for SEO Optimization:", "html</p>\n<article>\n<h1>Solving $6\\left(-\\frac{14}{3}\\right) + b = 5$ Step-by-Step</h1>\n<p>Understanding how to solve algebraic expressions is key to mastering math. Here’s a clear breakdown of solving <strong>6(–14/3) + b = 5</strong> to find that <strong>b = 33</strong>.</p>\n<p><strong>Step 1:</strong> Multiply 6 by $-\\frac{14}{3}$: \n $$6 \ imes \\left(-\\frac{14}{3}\\right) = -\\frac{84}{3} = -28$$ \n Result: $$-\\!28 + b = 5$$ \n <strong>Step 2:</strong> Add 28 to both sides: \n $$-28 + b + 28 = 5 + 28 \\Rightarrow b = 33$$", "<strong>Conclusion:</strong> The value of <code>b</code> is <strong>33.</strong> This demonstrates essential algebraic skills useful for everyday math and technical problems.</p>", "<p><em>Keep practicing step-by-step simplification — it makes complex equations manageable!</em></p>\n</article>\n<p>", "---", "Keywords: solve $6(–14⁄3) + b = 5$, step-by-step algebra, how to solve linear equations, simplifying fractions in algebra, algebra problem solving, isolate variable b, algebraic expressions explained, solve for b, fractional arithmetic in equations.", "Use this structured approach to confidently tackle similar algebraic equations!"]
