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Simplifying -9m + 51 + -2(m + -5) = 7m + -1(6m + -7) + -5m + 5 Reorder the terms: -9m + 51 + -2(-5 + m) = 7m + -1(6m + -7) + -5m + 5 -9m + 51 + (-5 * -2 + m * -2) = 7m + -1(6m + -7) + -5m + 5 -9m + 51 + (10 + -2m) = 7m + -1(6m + -7) + -5m + 5 Reorder the terms: 51 + 10 + -9m + -2m = 7m + -1(6m + -7) + -5m + 5 Combine like terms: 51 + 10 = 61 61 + -9m + -2m = 7m + -1(6m + -7) + -5m + 5 Combine like terms: -9m + -2m = -11m 61 + -11m = 7m + -1(6m + -7) + -5m + 5 Reorder the terms: 61 + -11m = 7m + -1(-7 + 6m) + -5m + 5 61 + -11m = 7m + (-7 * -1 + 6m * -1) + -5m + 5 61 + -11m = 7m + (7 + -6m) + -5m + 5 Reorder the terms: 61 + -11m = 7 + 5 + 7m + -6m + -5m Combine like terms: 7 + 5 = 12 61 + -11m = 12 + 7m + -6m + -5m Combine like terms: 7m + -6m = 1m 61 + -11m = 12 + 1m + -5m Combine like terms: 1m + -5m = -4m 61 + -11m = 12 + -4m Solving 61 + -11m = 12 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 61 + -11m + 4m = 12 + -4m + 4m Combine like terms: -11m + 4m = -7m 61 + -7m = 12 + -4m + 4m Combine like terms: -4m + 4m = 0 61 + -7m = 12 + 0 61 + -7m = 12 Add '-61' to each side of the equation. 61 + -61 + -7m = 12 + -61 Combine like terms: 61 + -61 = 0 0 + -7m = 12 + -61 -7m = 12 + -61 Combine like terms: 12 + -61 = -49 -7m = -49 Divide each side by '-7'. m = 7 Simplifying m = 7
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