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Simplifying -4(-1 + 2m) = 8m + 36 (-1 * -4 + 2m * -4) = 8m + 36 (4 + -8m) = 8m + 36 Reorder the terms: 4 + -8m = 36 + 8m Solving 4 + -8m = 36 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 4 + -8m + -8m = 36 + 8m + -8m Combine like terms: -8m + -8m = -16m 4 + -16m = 36 + 8m + -8m Combine like terms: 8m + -8m = 0 4 + -16m = 36 + 0 4 + -16m = 36 Add '-4' to each side of the equation. 4 + -4 + -16m = 36 + -4 Combine like terms: 4 + -4 = 0 0 + -16m = 36 + -4 -16m = 36 + -4 Combine like terms: 36 + -4 = 32 -16m = 32 Divide each side by '-16'. m = -2 Simplifying m = -2
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