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Simplifying -4(1 + 7m) = -8(2m + 8) (1 * -4 + 7m * -4) = -8(2m + 8) (-4 + -28m) = -8(2m + 8) Reorder the terms: -4 + -28m = -8(8 + 2m) -4 + -28m = (8 * -8 + 2m * -8) -4 + -28m = (-64 + -16m) Solving -4 + -28m = -64 + -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. -4 + -28m + 16m = -64 + -16m + 16m Combine like terms: -28m + 16m = -12m -4 + -12m = -64 + -16m + 16m Combine like terms: -16m + 16m = 0 -4 + -12m = -64 + 0 -4 + -12m = -64 Add '4' to each side of the equation. -4 + 4 + -12m = -64 + 4 Combine like terms: -4 + 4 = 0 0 + -12m = -64 + 4 -12m = -64 + 4 Combine like terms: -64 + 4 = -60 -12m = -60 Divide each side by '-12'. m = 5 Simplifying m = 5
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