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Simplifying -9m + 68 + -5(m + -1) = 7m + -1(4m + -7) + -8m + 3 Reorder the terms: -9m + 68 + -5(-1 + m) = 7m + -1(4m + -7) + -8m + 3 -9m + 68 + (-1 * -5 + m * -5) = 7m + -1(4m + -7) + -8m + 3 -9m + 68 + (5 + -5m) = 7m + -1(4m + -7) + -8m + 3 Reorder the terms: 68 + 5 + -9m + -5m = 7m + -1(4m + -7) + -8m + 3 Combine like terms: 68 + 5 = 73 73 + -9m + -5m = 7m + -1(4m + -7) + -8m + 3 Combine like terms: -9m + -5m = -14m 73 + -14m = 7m + -1(4m + -7) + -8m + 3 Reorder the terms: 73 + -14m = 7m + -1(-7 + 4m) + -8m + 3 73 + -14m = 7m + (-7 * -1 + 4m * -1) + -8m + 3 73 + -14m = 7m + (7 + -4m) + -8m + 3 Reorder the terms: 73 + -14m = 7 + 3 + 7m + -4m + -8m Combine like terms: 7 + 3 = 10 73 + -14m = 10 + 7m + -4m + -8m Combine like terms: 7m + -4m = 3m 73 + -14m = 10 + 3m + -8m Combine like terms: 3m + -8m = -5m 73 + -14m = 10 + -5m Solving 73 + -14m = 10 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 73 + -14m + 5m = 10 + -5m + 5m Combine like terms: -14m + 5m = -9m 73 + -9m = 10 + -5m + 5m Combine like terms: -5m + 5m = 0 73 + -9m = 10 + 0 73 + -9m = 10 Add '-73' to each side of the equation. 73 + -73 + -9m = 10 + -73 Combine like terms: 73 + -73 = 0 0 + -9m = 10 + -73 -9m = 10 + -73 Combine like terms: 10 + -73 = -63 -9m = -63 Divide each side by '-9'. m = 7 Simplifying m = 7
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