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Simplifying -2(2m + -4) = 3(8m + 5) Reorder the terms: -2(-4 + 2m) = 3(8m + 5) (-4 * -2 + 2m * -2) = 3(8m + 5) (8 + -4m) = 3(8m + 5) Reorder the terms: 8 + -4m = 3(5 + 8m) 8 + -4m = (5 * 3 + 8m * 3) 8 + -4m = (15 + 24m) Solving 8 + -4m = 15 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. 8 + -4m + -24m = 15 + 24m + -24m Combine like terms: -4m + -24m = -28m 8 + -28m = 15 + 24m + -24m Combine like terms: 24m + -24m = 0 8 + -28m = 15 + 0 8 + -28m = 15 Add '-8' to each side of the equation. 8 + -8 + -28m = 15 + -8 Combine like terms: 8 + -8 = 0 0 + -28m = 15 + -8 -28m = 15 + -8 Combine like terms: 15 + -8 = 7 -28m = 7 Divide each side by '-28'. m = -0.25 Simplifying m = -0.25
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