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Simplifying -2 + 29 + -9(m + -1) = 9m + -1(8m + -7) + -3m + 4 Reorder the terms: -2 + 29 + -9(-1 + m) = 9m + -1(8m + -7) + -3m + 4 -2 + 29 + (-1 * -9 + m * -9) = 9m + -1(8m + -7) + -3m + 4 -2 + 29 + (9 + -9m) = 9m + -1(8m + -7) + -3m + 4 Combine like terms: -2 + 29 = 27 27 + 9 + -9m = 9m + -1(8m + -7) + -3m + 4 Combine like terms: 27 + 9 = 36 36 + -9m = 9m + -1(8m + -7) + -3m + 4 Reorder the terms: 36 + -9m = 9m + -1(-7 + 8m) + -3m + 4 36 + -9m = 9m + (-7 * -1 + 8m * -1) + -3m + 4 36 + -9m = 9m + (7 + -8m) + -3m + 4 Reorder the terms: 36 + -9m = 7 + 4 + 9m + -8m + -3m Combine like terms: 7 + 4 = 11 36 + -9m = 11 + 9m + -8m + -3m Combine like terms: 9m + -8m = 1m 36 + -9m = 11 + 1m + -3m Combine like terms: 1m + -3m = -2m 36 + -9m = 11 + -2m Solving 36 + -9m = 11 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 36 + -9m + 2m = 11 + -2m + 2m Combine like terms: -9m + 2m = -7m 36 + -7m = 11 + -2m + 2m Combine like terms: -2m + 2m = 0 36 + -7m = 11 + 0 36 + -7m = 11 Add '-36' to each side of the equation. 36 + -36 + -7m = 11 + -36 Combine like terms: 36 + -36 = 0 0 + -7m = 11 + -36 -7m = 11 + -36 Combine like terms: 11 + -36 = -25 -7m = -25 Divide each side by '-7'. m = 3.571428571 Simplifying m = 3.571428571
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