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Simplifying -7m + 27 + -9(m + -2) = 2m + -1(8m + -8) + -3m + 9 Reorder the terms: -7m + 27 + -9(-2 + m) = 2m + -1(8m + -8) + -3m + 9 -7m + 27 + (-2 * -9 + m * -9) = 2m + -1(8m + -8) + -3m + 9 -7m + 27 + (18 + -9m) = 2m + -1(8m + -8) + -3m + 9 Reorder the terms: 27 + 18 + -7m + -9m = 2m + -1(8m + -8) + -3m + 9 Combine like terms: 27 + 18 = 45 45 + -7m + -9m = 2m + -1(8m + -8) + -3m + 9 Combine like terms: -7m + -9m = -16m 45 + -16m = 2m + -1(8m + -8) + -3m + 9 Reorder the terms: 45 + -16m = 2m + -1(-8 + 8m) + -3m + 9 45 + -16m = 2m + (-8 * -1 + 8m * -1) + -3m + 9 45 + -16m = 2m + (8 + -8m) + -3m + 9 Reorder the terms: 45 + -16m = 8 + 9 + 2m + -8m + -3m Combine like terms: 8 + 9 = 17 45 + -16m = 17 + 2m + -8m + -3m Combine like terms: 2m + -8m = -6m 45 + -16m = 17 + -6m + -3m Combine like terms: -6m + -3m = -9m 45 + -16m = 17 + -9m Solving 45 + -16m = 17 + -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. 45 + -16m + 9m = 17 + -9m + 9m Combine like terms: -16m + 9m = -7m 45 + -7m = 17 + -9m + 9m Combine like terms: -9m + 9m = 0 45 + -7m = 17 + 0 45 + -7m = 17 Add '-45' to each side of the equation. 45 + -45 + -7m = 17 + -45 Combine like terms: 45 + -45 = 0 0 + -7m = 17 + -45 -7m = 17 + -45 Combine like terms: 17 + -45 = -28 -7m = -28 Divide each side by '-7'. m = 4 Simplifying m = 4
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