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Simplifying -102 = 5m + 2(1 + 4m) -102 = 5m + (1 * 2 + 4m * 2) -102 = 5m + (2 + 8m) Reorder the terms: -102 = 2 + 5m + 8m Combine like terms: 5m + 8m = 13m -102 = 2 + 13m Solving -102 = 2 + 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. -102 + -13m = 2 + 13m + -13m Combine like terms: 13m + -13m = 0 -102 + -13m = 2 + 0 -102 + -13m = 2 Add '102' to each side of the equation. -102 + 102 + -13m = 2 + 102 Combine like terms: -102 + 102 = 0 0 + -13m = 2 + 102 -13m = 2 + 102 Combine like terms: 2 + 102 = 104 -13m = 104 Divide each side by '-13'. m = -8 Simplifying m = -8
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