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Simplifying -5m + 24 + -9(m + -1) = 7m + -1(6m + -3) + -8m + 9 Reorder the terms: -5m + 24 + -9(-1 + m) = 7m + -1(6m + -3) + -8m + 9 -5m + 24 + (-1 * -9 + m * -9) = 7m + -1(6m + -3) + -8m + 9 -5m + 24 + (9 + -9m) = 7m + -1(6m + -3) + -8m + 9 Reorder the terms: 24 + 9 + -5m + -9m = 7m + -1(6m + -3) + -8m + 9 Combine like terms: 24 + 9 = 33 33 + -5m + -9m = 7m + -1(6m + -3) + -8m + 9 Combine like terms: -5m + -9m = -14m 33 + -14m = 7m + -1(6m + -3) + -8m + 9 Reorder the terms: 33 + -14m = 7m + -1(-3 + 6m) + -8m + 9 33 + -14m = 7m + (-3 * -1 + 6m * -1) + -8m + 9 33 + -14m = 7m + (3 + -6m) + -8m + 9 Reorder the terms: 33 + -14m = 3 + 9 + 7m + -6m + -8m Combine like terms: 3 + 9 = 12 33 + -14m = 12 + 7m + -6m + -8m Combine like terms: 7m + -6m = 1m 33 + -14m = 12 + 1m + -8m Combine like terms: 1m + -8m = -7m 33 + -14m = 12 + -7m Solving 33 + -14m = 12 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 33 + -14m + 7m = 12 + -7m + 7m Combine like terms: -14m + 7m = -7m 33 + -7m = 12 + -7m + 7m Combine like terms: -7m + 7m = 0 33 + -7m = 12 + 0 33 + -7m = 12 Add '-33' to each side of the equation. 33 + -33 + -7m = 12 + -33 Combine like terms: 33 + -33 = 0 0 + -7m = 12 + -33 -7m = 12 + -33 Combine like terms: 12 + -33 = -21 -7m = -21 Divide each side by '-7'. m = 3 Simplifying m = 3
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