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Simplifying 15 + -1(2m + 6) = 2 + 4m + -11 Reorder the terms: 15 + -1(6 + 2m) = 2 + 4m + -11 15 + (6 * -1 + 2m * -1) = 2 + 4m + -11 15 + (-6 + -2m) = 2 + 4m + -11 Combine like terms: 15 + -6 = 9 9 + -2m = 2 + 4m + -11 Reorder the terms: 9 + -2m = 2 + -11 + 4m Combine like terms: 2 + -11 = -9 9 + -2m = -9 + 4m Solving 9 + -2m = -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. 9 + -2m + -4m = -9 + 4m + -4m Combine like terms: -2m + -4m = -6m 9 + -6m = -9 + 4m + -4m Combine like terms: 4m + -4m = 0 9 + -6m = -9 + 0 9 + -6m = -9 Add '-9' to each side of the equation. 9 + -9 + -6m = -9 + -9 Combine like terms: 9 + -9 = 0 0 + -6m = -9 + -9 -6m = -9 + -9 Combine like terms: -9 + -9 = -18 -6m = -18 Divide each side by '-6'. m = 3 Simplifying m = 3
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