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Simplifying -4(2 + -6m) = 5(8m + 8) (2 * -4 + -6m * -4) = 5(8m + 8) (-8 + 24m) = 5(8m + 8) Reorder the terms: -8 + 24m = 5(8 + 8m) -8 + 24m = (8 * 5 + 8m * 5) -8 + 24m = (40 + 40m) Solving -8 + 24m = 40 + 40m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-40m' to each side of the equation. -8 + 24m + -40m = 40 + 40m + -40m Combine like terms: 24m + -40m = -16m -8 + -16m = 40 + 40m + -40m Combine like terms: 40m + -40m = 0 -8 + -16m = 40 + 0 -8 + -16m = 40 Add '8' to each side of the equation. -8 + 8 + -16m = 40 + 8 Combine like terms: -8 + 8 = 0 0 + -16m = 40 + 8 -16m = 40 + 8 Combine like terms: 40 + 8 = 48 -16m = 48 Divide each side by '-16'. m = -3 Simplifying m = -3
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