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Simplifying 12 + -1(4m + 8) = 2 + 3m + -2 Reorder the terms: 12 + -1(8 + 4m) = 2 + 3m + -2 12 + (8 * -1 + 4m * -1) = 2 + 3m + -2 12 + (-8 + -4m) = 2 + 3m + -2 Combine like terms: 12 + -8 = 4 4 + -4m = 2 + 3m + -2 Reorder the terms: 4 + -4m = 2 + -2 + 3m Combine like terms: 2 + -2 = 0 4 + -4m = 0 + 3m 4 + -4m = 3m Solving 4 + -4m = 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 4 + -4m + -3m = 3m + -3m Combine like terms: -4m + -3m = -7m 4 + -7m = 3m + -3m Combine like terms: 3m + -3m = 0 4 + -7m = 0 Add '-4' to each side of the equation. 4 + -4 + -7m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7m = 0 + -4 -7m = 0 + -4 Combine like terms: 0 + -4 = -4 -7m = -4 Divide each side by '-7'. m = 0.5714285714 Simplifying m = 0.5714285714
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