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Simplifying -5m + 57 + -5(m + -4) = 9m + -1(3m + -4) + -6m + 3 Reorder the terms: -5m + 57 + -5(-4 + m) = 9m + -1(3m + -4) + -6m + 3 -5m + 57 + (-4 * -5 + m * -5) = 9m + -1(3m + -4) + -6m + 3 -5m + 57 + (20 + -5m) = 9m + -1(3m + -4) + -6m + 3 Reorder the terms: 57 + 20 + -5m + -5m = 9m + -1(3m + -4) + -6m + 3 Combine like terms: 57 + 20 = 77 77 + -5m + -5m = 9m + -1(3m + -4) + -6m + 3 Combine like terms: -5m + -5m = -10m 77 + -10m = 9m + -1(3m + -4) + -6m + 3 Reorder the terms: 77 + -10m = 9m + -1(-4 + 3m) + -6m + 3 77 + -10m = 9m + (-4 * -1 + 3m * -1) + -6m + 3 77 + -10m = 9m + (4 + -3m) + -6m + 3 Reorder the terms: 77 + -10m = 4 + 3 + 9m + -3m + -6m Combine like terms: 4 + 3 = 7 77 + -10m = 7 + 9m + -3m + -6m Combine like terms: 9m + -3m = 6m 77 + -10m = 7 + 6m + -6m Combine like terms: 6m + -6m = 0 77 + -10m = 7 + 0 77 + -10m = 7 Solving 77 + -10m = 7 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + -77 + -10m = 7 + -77 Combine like terms: 77 + -77 = 0 0 + -10m = 7 + -77 -10m = 7 + -77 Combine like terms: 7 + -77 = -70 -10m = -70 Divide each side by '-10'. m = 7 Simplifying m = 7
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