Simplifying, \( 210 = 3.5(15 + l) \), leading to \( 60 = 15 + l \).

["How to Simplify the Equation ( 210 = 3.5(15 + l) ) to ( 60 = 15 + l )", "Solving algebraic equations is a fundamental skill in mathematics, and one common challenge students face is simplifying expressions efficiently. Take, for example, the equation:", "[ 210 = 3.5(15 + l) ]", "Many learners wonder how such an equation simplifies neatly to ( 60 = 15 + l )—a critical intermediate step that makes solving for ( l ) much easier. This article explains step-by-step how to convert the original expression into a simpler form, empowering you to solve for the variable with confidence.", "---", "### Step 1: Understand the Equation Structure", "The equation\n[ 210 = 3.5(15 + l) ]\nexpresses that 210 is equal to 3.5 multiplied by the sum of 15 and an unknown quantity ( l ). Our goal is to isolate the term with ( l ) and simplify the equation. We begin by eliminating the coefficient 3.5 through division.", "---", "### Step 2: Divide Both Sides by 3.5", "To eliminate 3.5, divide both sides of the equation by 3.5:\n[\n\frac{210}{3.5} = \frac{3.5(15 + l)}{3.5}\n]", "The 3.5 cancels on the right side:\n[\n\frac{210}{3.5} = 15 + l\n]", "---", "### Step 3: Simplify the Division", "Now compute ( \frac{210}{3.5} ). To avoid decimals, rewrite 3.5 as a fraction:\n[\n3.5 = \frac{7}{2}\n]", "Thus:\n[\n\frac{210}{\frac{7}{2}} = 210 \ imes \frac{2}{7} = \frac{420}{7} = 60\n]", "So the equation becomes:\n[\n60 = 15 + l\n]", "---", "### Why This Simplification Works", "By dividing both sides by 3.5, we preserved the equality while simplifying the coefficient on the left. This step directly reduces complexity, turning a multiplication and division challenge into a basic linear equation ready for solving ( l ). The transformation from ( 210 = 3.5(15 + l) ) to ( 60 = 15 + l ) exemplifies key algebraic strategies:", "- Using inverse operations to isolate variables\n- Simplifying fractions to eliminate decimals and decalers\n- Maintaining balance by applying the same operation to both sides", "---", "### Solving for ( l ) Next", "From ( 60 = 15 + l ), subtract 15 from both sides:\n[\n60 - 15 = l \quad \Rightarrow \quad l = 45\n]", "This confirmation step ensures our simplification was correct and the solution accurate.", "---", "### Final Thoughts", "Simplifying complex equations step-by-step is essential for building strong algebraic reasoning. By dividing both sides by 3.5, we transformed ( 210 = 3.5(15 + l) ) cleanly into ( 60 = 15 + l )—a clear pathway to the solution. Whether you're learning algebra or reviewing math, mastering such simplifications enhances clarity and confidence in equation solving.", "If you found this guide helpful, share it with peers, practice with similar examples, and remember: simplification is the key to mastery in algebra!", "---", "Related Keywords:\nsolve equations, simplify expressions, algebra basics, how to simplify 210 = 3.5(15 + l), step-by-step equation solving, divide both sides, linear equations for beginners, key algebra steps"]