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Simplifying -7m + 29 + -5(m + -1) = 9m + -1(6m + -7) + -4m + 5 Reorder the terms: -7m + 29 + -5(-1 + m) = 9m + -1(6m + -7) + -4m + 5 -7m + 29 + (-1 * -5 + m * -5) = 9m + -1(6m + -7) + -4m + 5 -7m + 29 + (5 + -5m) = 9m + -1(6m + -7) + -4m + 5 Reorder the terms: 29 + 5 + -7m + -5m = 9m + -1(6m + -7) + -4m + 5 Combine like terms: 29 + 5 = 34 34 + -7m + -5m = 9m + -1(6m + -7) + -4m + 5 Combine like terms: -7m + -5m = -12m 34 + -12m = 9m + -1(6m + -7) + -4m + 5 Reorder the terms: 34 + -12m = 9m + -1(-7 + 6m) + -4m + 5 34 + -12m = 9m + (-7 * -1 + 6m * -1) + -4m + 5 34 + -12m = 9m + (7 + -6m) + -4m + 5 Reorder the terms: 34 + -12m = 7 + 5 + 9m + -6m + -4m Combine like terms: 7 + 5 = 12 34 + -12m = 12 + 9m + -6m + -4m Combine like terms: 9m + -6m = 3m 34 + -12m = 12 + 3m + -4m Combine like terms: 3m + -4m = -1m 34 + -12m = 12 + -1m Solving 34 + -12m = 12 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 34 + -12m + m = 12 + -1m + m Combine like terms: -12m + m = -11m 34 + -11m = 12 + -1m + m Combine like terms: -1m + m = 0 34 + -11m = 12 + 0 34 + -11m = 12 Add '-34' to each side of the equation. 34 + -34 + -11m = 12 + -34 Combine like terms: 34 + -34 = 0 0 + -11m = 12 + -34 -11m = 12 + -34 Combine like terms: 12 + -34 = -22 -11m = -22 Divide each side by '-11'. m = 2 Simplifying m = 2
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