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Simplifying 2(3m + -8) = 4(1 + -1m) Reorder the terms: 2(-8 + 3m) = 4(1 + -1m) (-8 * 2 + 3m * 2) = 4(1 + -1m) (-16 + 6m) = 4(1 + -1m) -16 + 6m = (1 * 4 + -1m * 4) -16 + 6m = (4 + -4m) Solving -16 + 6m = 4 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. -16 + 6m + 4m = 4 + -4m + 4m Combine like terms: 6m + 4m = 10m -16 + 10m = 4 + -4m + 4m Combine like terms: -4m + 4m = 0 -16 + 10m = 4 + 0 -16 + 10m = 4 Add '16' to each side of the equation. -16 + 16 + 10m = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 10m = 4 + 16 10m = 4 + 16 Combine like terms: 4 + 16 = 20 10m = 20 Divide each side by '10'. m = 2 Simplifying m = 2
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