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Simplifying l + 0.5(3) = 0.75(l + 3) Multiply 0.5 * 3 l + 1.5 = 0.75(l + 3) Reorder the terms: 1.5 + l = 0.75(l + 3) Reorder the terms: 1.5 + l = 0.75(3 + l) 1.5 + l = (3 * 0.75 + l * 0.75) 1.5 + l = (2.25 + 0.75l) Solving 1.5 + l = 2.25 + 0.75l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-0.75l' to each side of the equation. 1.5 + l + -0.75l = 2.25 + 0.75l + -0.75l Combine like terms: l + -0.75l = 0.25l 1.5 + 0.25l = 2.25 + 0.75l + -0.75l Combine like terms: 0.75l + -0.75l = 0.00 1.5 + 0.25l = 2.25 + 0.00 1.5 + 0.25l = 2.25 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.25l = 2.25 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.25l = 2.25 + -1.5 0.25l = 2.25 + -1.5 Combine like terms: 2.25 + -1.5 = 0.75 0.25l = 0.75 Divide each side by '0.25'. l = 3 Simplifying l = 3
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