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Simplifying 118 = 2(l * 5 + 7 * 5 + l * 7) Reorder the terms for easier multiplication: 118 = 2(5l + 7 * 5 + l * 7) Multiply 7 * 5 118 = 2(5l + 35 + l * 7) Reorder the terms for easier multiplication: 118 = 2(5l + 35 + 7l) Reorder the terms: 118 = 2(35 + 5l + 7l) Combine like terms: 5l + 7l = 12l 118 = 2(35 + 12l) 118 = (35 * 2 + 12l * 2) 118 = (70 + 24l) Solving 118 = 70 + 24l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-24l' to each side of the equation. 118 + -24l = 70 + 24l + -24l Combine like terms: 24l + -24l = 0 118 + -24l = 70 + 0 118 + -24l = 70 Add '-118' to each side of the equation. 118 + -118 + -24l = 70 + -118 Combine like terms: 118 + -118 = 0 0 + -24l = 70 + -118 -24l = 70 + -118 Combine like terms: 70 + -118 = -48 -24l = -48 Divide each side by '-24'. l = 2 Simplifying l = 2
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