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Simplifying 15 + -1(2m + 6) = 4 + 3m + -15 Reorder the terms: 15 + -1(6 + 2m) = 4 + 3m + -15 15 + (6 * -1 + 2m * -1) = 4 + 3m + -15 15 + (-6 + -2m) = 4 + 3m + -15 Combine like terms: 15 + -6 = 9 9 + -2m = 4 + 3m + -15 Reorder the terms: 9 + -2m = 4 + -15 + 3m Combine like terms: 4 + -15 = -11 9 + -2m = -11 + 3m Solving 9 + -2m = -11 + 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. 9 + -2m + -3m = -11 + 3m + -3m Combine like terms: -2m + -3m = -5m 9 + -5m = -11 + 3m + -3m Combine like terms: 3m + -3m = 0 9 + -5m = -11 + 0 9 + -5m = -11 Add '-9' to each side of the equation. 9 + -9 + -5m = -11 + -9 Combine like terms: 9 + -9 = 0 0 + -5m = -11 + -9 -5m = -11 + -9 Combine like terms: -11 + -9 = -20 -5m = -20 Divide each side by '-5'. m = 4 Simplifying m = 4
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