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Simplifying 11 + 3(5m + -2) = 7(2m + -1) + 9 Reorder the terms: 11 + 3(-2 + 5m) = 7(2m + -1) + 9 11 + (-2 * 3 + 5m * 3) = 7(2m + -1) + 9 11 + (-6 + 15m) = 7(2m + -1) + 9 Combine like terms: 11 + -6 = 5 5 + 15m = 7(2m + -1) + 9 Reorder the terms: 5 + 15m = 7(-1 + 2m) + 9 5 + 15m = (-1 * 7 + 2m * 7) + 9 5 + 15m = (-7 + 14m) + 9 Reorder the terms: 5 + 15m = -7 + 9 + 14m Combine like terms: -7 + 9 = 2 5 + 15m = 2 + 14m Solving 5 + 15m = 2 + 14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14m' to each side of the equation. 5 + 15m + -14m = 2 + 14m + -14m Combine like terms: 15m + -14m = 1m 5 + 1m = 2 + 14m + -14m Combine like terms: 14m + -14m = 0 5 + 1m = 2 + 0 5 + 1m = 2 Add '-5' to each side of the equation. 5 + -5 + 1m = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 1m = 2 + -5 1m = 2 + -5 Combine like terms: 2 + -5 = -3 1m = -3 Divide each side by '1'. m = -3 Simplifying m = -3
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