\(\frac{3d}{240} + \frac{4d}{240} = 7\)

["# Solving (\frac{3d}{240} + \frac{4d}{240} = 7): A Step-by-Step Guide", "If you've come across the equation (\frac{3d}{240} + \frac{4d}{240} = 7), you're facing a simple linear equation involving fractions with the same denominator. Solving it correctly unlocks a clear path to finding the value of (d). In this SEO-optimized guide, we break down the steps to solve this equation efficiently—perfect for students, math enthusiasts, and anyone looking to strengthen their algebraic skills.", "---", "## Why This Equation Matters", "Before diving into the solution, it’s worth noting that solving such equations trains essential arithmetic and algebraic reasoning skills. This type of problem appears frequently in math tests, standardized exams, and real-world applications, such as scaling ratios, unit conversion, or modeling proportional relationships. Mastering it helps improve problem-solving speed and accuracy.", "---", "## Step-by-Step Solution", "### Step 1: Combine Like Terms", "Since both fractions on the left-hand side share the same denominator (240), we can combine them by adding the numerators:", "[\n\frac{3d + 4d}{240} = 7\n]", "Simplify the numerator:", "[\n\frac{7d}{240} = 7\n]", "---", "### Step 2: Eliminate the Denominator", "To isolate (d), multiply both sides of the equation by 240 to eliminate the denominator:", "[\n240 \cdot \frac{7d}{240} = 7 \cdot 240\n]", "This simplifies to:", "[\n7d = 1680\n]", "---", "### Step 3: Solve for (d)", "Now divide both sides by 7:", "[\nd = \frac{1680}{7} = 240\n]", "---", "## Final Answer", "[\n\boxed{d = 240}\n]", "---", "## Why This Works: Key Takeaways", "- The common denominator lets us combine fractions easily.\n- Multiplying both sides by the denominator clears fractions efficiently.\n- Solving linear equations follows a simple order: combine, isolate variable, simplify.", "---", "## Optimizing for SEO", "To maximize visibility for this SEO-friendly article:\n- Use a clear, descriptive title: “How to Solve (\frac{3d}{240} + \frac{4d}{240} = 7): Step-by-Step Breakdown”\n- Include relevant keywords naturally: “solve linear equations,” “algebraic step-by-step,” “fraction arithmetic,”\n- Structured headings improve readability and search ranking,\n- Provide practical context: “why this equation matters” and “real-world applications” engage readers.", "---", "Master this equation pattern, and boost your algebra confidence! For more math tutorials, practice problems, and SEO-optimized learning content, explore our full library.", "---", "Keywords: (\frac{3d}{240} + \frac{4d}{240} = 7), solving linear equations, algebra basics, fraction equation, math tutorials, step-by-step solution, equation simplification."]