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Simplifying -4(-1m + 2) + 2m = 0.5(10 + -12m) + -3 Reorder the terms: -4(2 + -1m) + 2m = 0.5(10 + -12m) + -3 (2 * -4 + -1m * -4) + 2m = 0.5(10 + -12m) + -3 (-8 + 4m) + 2m = 0.5(10 + -12m) + -3 Combine like terms: 4m + 2m = 6m -8 + 6m = 0.5(10 + -12m) + -3 -8 + 6m = (10 * 0.5 + -12m * 0.5) + -3 -8 + 6m = (5 + -6m) + -3 Reorder the terms: -8 + 6m = 5 + -3 + -6m Combine like terms: 5 + -3 = 2 -8 + 6m = 2 + -6m Solving -8 + 6m = 2 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. -8 + 6m + 6m = 2 + -6m + 6m Combine like terms: 6m + 6m = 12m -8 + 12m = 2 + -6m + 6m Combine like terms: -6m + 6m = 0 -8 + 12m = 2 + 0 -8 + 12m = 2 Add '8' to each side of the equation. -8 + 8 + 12m = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 12m = 2 + 8 12m = 2 + 8 Combine like terms: 2 + 8 = 10 12m = 10 Divide each side by '12'. m = 0.8333333333 Simplifying m = 0.8333333333
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