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Simplifying -2(m + 8) + 2(7 + -5m) = -13(m + -1) + -3 Reorder the terms: -2(8 + m) + 2(7 + -5m) = -13(m + -1) + -3 (8 * -2 + m * -2) + 2(7 + -5m) = -13(m + -1) + -3 (-16 + -2m) + 2(7 + -5m) = -13(m + -1) + -3 -16 + -2m + (7 * 2 + -5m * 2) = -13(m + -1) + -3 -16 + -2m + (14 + -10m) = -13(m + -1) + -3 Reorder the terms: -16 + 14 + -2m + -10m = -13(m + -1) + -3 Combine like terms: -16 + 14 = -2 -2 + -2m + -10m = -13(m + -1) + -3 Combine like terms: -2m + -10m = -12m -2 + -12m = -13(m + -1) + -3 Reorder the terms: -2 + -12m = -13(-1 + m) + -3 -2 + -12m = (-1 * -13 + m * -13) + -3 -2 + -12m = (13 + -13m) + -3 Reorder the terms: -2 + -12m = 13 + -3 + -13m Combine like terms: 13 + -3 = 10 -2 + -12m = 10 + -13m Solving -2 + -12m = 10 + -13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '13m' to each side of the equation. -2 + -12m + 13m = 10 + -13m + 13m Combine like terms: -12m + 13m = 1m -2 + 1m = 10 + -13m + 13m Combine like terms: -13m + 13m = 0 -2 + 1m = 10 + 0 -2 + 1m = 10 Add '2' to each side of the equation. -2 + 2 + 1m = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 1m = 10 + 2 1m = 10 + 2 Combine like terms: 10 + 2 = 12 1m = 12 Divide each side by '1'. m = 12 Simplifying m = 12
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