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Simplifying -6m + 37 + -6(m + -2) = 5m + -1(2m + -6) + -3m + 7 Reorder the terms: -6m + 37 + -6(-2 + m) = 5m + -1(2m + -6) + -3m + 7 -6m + 37 + (-2 * -6 + m * -6) = 5m + -1(2m + -6) + -3m + 7 -6m + 37 + (12 + -6m) = 5m + -1(2m + -6) + -3m + 7 Reorder the terms: 37 + 12 + -6m + -6m = 5m + -1(2m + -6) + -3m + 7 Combine like terms: 37 + 12 = 49 49 + -6m + -6m = 5m + -1(2m + -6) + -3m + 7 Combine like terms: -6m + -6m = -12m 49 + -12m = 5m + -1(2m + -6) + -3m + 7 Reorder the terms: 49 + -12m = 5m + -1(-6 + 2m) + -3m + 7 49 + -12m = 5m + (-6 * -1 + 2m * -1) + -3m + 7 49 + -12m = 5m + (6 + -2m) + -3m + 7 Reorder the terms: 49 + -12m = 6 + 7 + 5m + -2m + -3m Combine like terms: 6 + 7 = 13 49 + -12m = 13 + 5m + -2m + -3m Combine like terms: 5m + -2m = 3m 49 + -12m = 13 + 3m + -3m Combine like terms: 3m + -3m = 0 49 + -12m = 13 + 0 49 + -12m = 13 Solving 49 + -12m = 13 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -12m = 13 + -49 Combine like terms: 49 + -49 = 0 0 + -12m = 13 + -49 -12m = 13 + -49 Combine like terms: 13 + -49 = -36 -12m = -36 Divide each side by '-12'. m = 3 Simplifying m = 3
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