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Simplifying -5m + 41 + -7(m + -1) = 9m + -1(3m + -8) + -6m + 4 Reorder the terms: -5m + 41 + -7(-1 + m) = 9m + -1(3m + -8) + -6m + 4 -5m + 41 + (-1 * -7 + m * -7) = 9m + -1(3m + -8) + -6m + 4 -5m + 41 + (7 + -7m) = 9m + -1(3m + -8) + -6m + 4 Reorder the terms: 41 + 7 + -5m + -7m = 9m + -1(3m + -8) + -6m + 4 Combine like terms: 41 + 7 = 48 48 + -5m + -7m = 9m + -1(3m + -8) + -6m + 4 Combine like terms: -5m + -7m = -12m 48 + -12m = 9m + -1(3m + -8) + -6m + 4 Reorder the terms: 48 + -12m = 9m + -1(-8 + 3m) + -6m + 4 48 + -12m = 9m + (-8 * -1 + 3m * -1) + -6m + 4 48 + -12m = 9m + (8 + -3m) + -6m + 4 Reorder the terms: 48 + -12m = 8 + 4 + 9m + -3m + -6m Combine like terms: 8 + 4 = 12 48 + -12m = 12 + 9m + -3m + -6m Combine like terms: 9m + -3m = 6m 48 + -12m = 12 + 6m + -6m Combine like terms: 6m + -6m = 0 48 + -12m = 12 + 0 48 + -12m = 12 Solving 48 + -12m = 12 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -12m = 12 + -48 Combine like terms: 48 + -48 = 0 0 + -12m = 12 + -48 -12m = 12 + -48 Combine like terms: 12 + -48 = -36 -12m = -36 Divide each side by '-12'. m = 3 Simplifying m = 3
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