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Simplifying 12 + -1(4m + 8) = 3 + 4m + -15 Reorder the terms: 12 + -1(8 + 4m) = 3 + 4m + -15 12 + (8 * -1 + 4m * -1) = 3 + 4m + -15 12 + (-8 + -4m) = 3 + 4m + -15 Combine like terms: 12 + -8 = 4 4 + -4m = 3 + 4m + -15 Reorder the terms: 4 + -4m = 3 + -15 + 4m Combine like terms: 3 + -15 = -12 4 + -4m = -12 + 4m Solving 4 + -4m = -12 + 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. 4 + -4m + -4m = -12 + 4m + -4m Combine like terms: -4m + -4m = -8m 4 + -8m = -12 + 4m + -4m Combine like terms: 4m + -4m = 0 4 + -8m = -12 + 0 4 + -8m = -12 Add '-4' to each side of the equation. 4 + -4 + -8m = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -8m = -12 + -4 -8m = -12 + -4 Combine like terms: -12 + -4 = -16 -8m = -16 Divide each side by '-8'. m = 2 Simplifying m = 2
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