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Simplifying (-2)(1 + 6m) = -10 + 8(10 + 2m) (1 * -2 + 6m * -2) = -10 + 8(10 + 2m) (-2 + -12m) = -10 + 8(10 + 2m) -2 + -12m = -10 + (10 * 8 + 2m * 8) -2 + -12m = -10 + (80 + 16m) Combine like terms: -10 + 80 = 70 -2 + -12m = 70 + 16m Solving -2 + -12m = 70 + 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. -2 + -12m + -16m = 70 + 16m + -16m Combine like terms: -12m + -16m = -28m -2 + -28m = 70 + 16m + -16m Combine like terms: 16m + -16m = 0 -2 + -28m = 70 + 0 -2 + -28m = 70 Add '2' to each side of the equation. -2 + 2 + -28m = 70 + 2 Combine like terms: -2 + 2 = 0 0 + -28m = 70 + 2 -28m = 70 + 2 Combine like terms: 70 + 2 = 72 -28m = 72 Divide each side by '-28'. m = -2.571428571 Simplifying m = -2.571428571
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