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Simplifying 10m + -3(2m + -9) = 9(m + -1) + 1 Reorder the terms: 10m + -3(-9 + 2m) = 9(m + -1) + 1 10m + (-9 * -3 + 2m * -3) = 9(m + -1) + 1 10m + (27 + -6m) = 9(m + -1) + 1 Reorder the terms: 27 + 10m + -6m = 9(m + -1) + 1 Combine like terms: 10m + -6m = 4m 27 + 4m = 9(m + -1) + 1 Reorder the terms: 27 + 4m = 9(-1 + m) + 1 27 + 4m = (-1 * 9 + m * 9) + 1 27 + 4m = (-9 + 9m) + 1 Reorder the terms: 27 + 4m = -9 + 1 + 9m Combine like terms: -9 + 1 = -8 27 + 4m = -8 + 9m Solving 27 + 4m = -8 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 27 + 4m + -9m = -8 + 9m + -9m Combine like terms: 4m + -9m = -5m 27 + -5m = -8 + 9m + -9m Combine like terms: 9m + -9m = 0 27 + -5m = -8 + 0 27 + -5m = -8 Add '-27' to each side of the equation. 27 + -27 + -5m = -8 + -27 Combine like terms: 27 + -27 = 0 0 + -5m = -8 + -27 -5m = -8 + -27 Combine like terms: -8 + -27 = -35 -5m = -35 Divide each side by '-5'. m = 7 Simplifying m = 7
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