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Simplifying -3(l + -8) + -5 = 9(l + 2) + 1 Reorder the terms: -3(-8 + l) + -5 = 9(l + 2) + 1 (-8 * -3 + l * -3) + -5 = 9(l + 2) + 1 (24 + -3l) + -5 = 9(l + 2) + 1 Reorder the terms: 24 + -5 + -3l = 9(l + 2) + 1 Combine like terms: 24 + -5 = 19 19 + -3l = 9(l + 2) + 1 Reorder the terms: 19 + -3l = 9(2 + l) + 1 19 + -3l = (2 * 9 + l * 9) + 1 19 + -3l = (18 + 9l) + 1 Reorder the terms: 19 + -3l = 18 + 1 + 9l Combine like terms: 18 + 1 = 19 19 + -3l = 19 + 9l Add '-19' to each side of the equation. 19 + -19 + -3l = 19 + -19 + 9l Combine like terms: 19 + -19 = 0 0 + -3l = 19 + -19 + 9l -3l = 19 + -19 + 9l Combine like terms: 19 + -19 = 0 -3l = 0 + 9l -3l = 9l Solving -3l = 9l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-9l' to each side of the equation. -3l + -9l = 9l + -9l Combine like terms: -3l + -9l = -12l -12l = 9l + -9l Combine like terms: 9l + -9l = 0 -12l = 0 Divide each side by '-12'. l = 0 Simplifying l = 0
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