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Simplifying 15 + -1(2m + 6) = 2 + 4m + -17 Reorder the terms: 15 + -1(6 + 2m) = 2 + 4m + -17 15 + (6 * -1 + 2m * -1) = 2 + 4m + -17 15 + (-6 + -2m) = 2 + 4m + -17 Combine like terms: 15 + -6 = 9 9 + -2m = 2 + 4m + -17 Reorder the terms: 9 + -2m = 2 + -17 + 4m Combine like terms: 2 + -17 = -15 9 + -2m = -15 + 4m Solving 9 + -2m = -15 + 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. 9 + -2m + -4m = -15 + 4m + -4m Combine like terms: -2m + -4m = -6m 9 + -6m = -15 + 4m + -4m Combine like terms: 4m + -4m = 0 9 + -6m = -15 + 0 9 + -6m = -15 Add '-9' to each side of the equation. 9 + -9 + -6m = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -6m = -15 + -9 -6m = -15 + -9 Combine like terms: -15 + -9 = -24 -6m = -24 Divide each side by '-6'. m = 4 Simplifying m = 4
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