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Simplifying 15 = 5 + -2(4m + 7) Reorder the terms: 15 = 5 + -2(7 + 4m) 15 = 5 + (7 * -2 + 4m * -2) 15 = 5 + (-14 + -8m) Combine like terms: 5 + -14 = -9 15 = -9 + -8m Solving 15 = -9 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. 15 + 8m = -9 + -8m + 8m Combine like terms: -8m + 8m = 0 15 + 8m = -9 + 0 15 + 8m = -9 Add '-15' to each side of the equation. 15 + -15 + 8m = -9 + -15 Combine like terms: 15 + -15 = 0 0 + 8m = -9 + -15 8m = -9 + -15 Combine like terms: -9 + -15 = -24 8m = -24 Divide each side by '8'. m = -3 Simplifying m = -3
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