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Simplifying 2(l + 1) = 3(l + -5) Reorder the terms: 2(1 + l) = 3(l + -5) (1 * 2 + l * 2) = 3(l + -5) (2 + 2l) = 3(l + -5) Reorder the terms: 2 + 2l = 3(-5 + l) 2 + 2l = (-5 * 3 + l * 3) 2 + 2l = (-15 + 3l) Solving 2 + 2l = -15 + 3l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3l' to each side of the equation. 2 + 2l + -3l = -15 + 3l + -3l Combine like terms: 2l + -3l = -1l 2 + -1l = -15 + 3l + -3l Combine like terms: 3l + -3l = 0 2 + -1l = -15 + 0 2 + -1l = -15 Add '-2' to each side of the equation. 2 + -2 + -1l = -15 + -2 Combine like terms: 2 + -2 = 0 0 + -1l = -15 + -2 -1l = -15 + -2 Combine like terms: -15 + -2 = -17 -1l = -17 Divide each side by '-1'. l = 17 Simplifying l = 17
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