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Simplifying -9m + 29 + -1(m + -1) = 6m + -1(4m + -2) + -2m + 7 Reorder the terms: -9m + 29 + -1(-1 + m) = 6m + -1(4m + -2) + -2m + 7 -9m + 29 + (-1 * -1 + m * -1) = 6m + -1(4m + -2) + -2m + 7 -9m + 29 + (1 + -1m) = 6m + -1(4m + -2) + -2m + 7 Reorder the terms: 29 + 1 + -9m + -1m = 6m + -1(4m + -2) + -2m + 7 Combine like terms: 29 + 1 = 30 30 + -9m + -1m = 6m + -1(4m + -2) + -2m + 7 Combine like terms: -9m + -1m = -10m 30 + -10m = 6m + -1(4m + -2) + -2m + 7 Reorder the terms: 30 + -10m = 6m + -1(-2 + 4m) + -2m + 7 30 + -10m = 6m + (-2 * -1 + 4m * -1) + -2m + 7 30 + -10m = 6m + (2 + -4m) + -2m + 7 Reorder the terms: 30 + -10m = 2 + 7 + 6m + -4m + -2m Combine like terms: 2 + 7 = 9 30 + -10m = 9 + 6m + -4m + -2m Combine like terms: 6m + -4m = 2m 30 + -10m = 9 + 2m + -2m Combine like terms: 2m + -2m = 0 30 + -10m = 9 + 0 30 + -10m = 9 Solving 30 + -10m = 9 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -10m = 9 + -30 Combine like terms: 30 + -30 = 0 0 + -10m = 9 + -30 -10m = 9 + -30 Combine like terms: 9 + -30 = -21 -10m = -21 Divide each side by '-10'. m = 2.1 Simplifying m = 2.1
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