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Simplifying 15 + -1(4m + 8) = 3 + 4m + -12 Reorder the terms: 15 + -1(8 + 4m) = 3 + 4m + -12 15 + (8 * -1 + 4m * -1) = 3 + 4m + -12 15 + (-8 + -4m) = 3 + 4m + -12 Combine like terms: 15 + -8 = 7 7 + -4m = 3 + 4m + -12 Reorder the terms: 7 + -4m = 3 + -12 + 4m Combine like terms: 3 + -12 = -9 7 + -4m = -9 + 4m Solving 7 + -4m = -9 + 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. 7 + -4m + -4m = -9 + 4m + -4m Combine like terms: -4m + -4m = -8m 7 + -8m = -9 + 4m + -4m Combine like terms: 4m + -4m = 0 7 + -8m = -9 + 0 7 + -8m = -9 Add '-7' to each side of the equation. 7 + -7 + -8m = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -8m = -9 + -7 -8m = -9 + -7 Combine like terms: -9 + -7 = -16 -8m = -16 Divide each side by '-8'. m = 2 Simplifying m = 2
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