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Simplifying -2(5m + 1) + -6 = 8(12 + 2m) Reorder the terms: -2(1 + 5m) + -6 = 8(12 + 2m) (1 * -2 + 5m * -2) + -6 = 8(12 + 2m) (-2 + -10m) + -6 = 8(12 + 2m) Reorder the terms: -2 + -6 + -10m = 8(12 + 2m) Combine like terms: -2 + -6 = -8 -8 + -10m = 8(12 + 2m) -8 + -10m = (12 * 8 + 2m * 8) -8 + -10m = (96 + 16m) Solving -8 + -10m = 96 + 16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. -8 + -10m + -16m = 96 + 16m + -16m Combine like terms: -10m + -16m = -26m -8 + -26m = 96 + 16m + -16m Combine like terms: 16m + -16m = 0 -8 + -26m = 96 + 0 -8 + -26m = 96 Add '8' to each side of the equation. -8 + 8 + -26m = 96 + 8 Combine like terms: -8 + 8 = 0 0 + -26m = 96 + 8 -26m = 96 + 8 Combine like terms: 96 + 8 = 104 -26m = 104 Divide each side by '-26'. m = -4 Simplifying m = -4
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