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Simplifying -6m + 65 + -5(m + -4) = 8m + -1(3m + -2) + -5m + 6 Reorder the terms: -6m + 65 + -5(-4 + m) = 8m + -1(3m + -2) + -5m + 6 -6m + 65 + (-4 * -5 + m * -5) = 8m + -1(3m + -2) + -5m + 6 -6m + 65 + (20 + -5m) = 8m + -1(3m + -2) + -5m + 6 Reorder the terms: 65 + 20 + -6m + -5m = 8m + -1(3m + -2) + -5m + 6 Combine like terms: 65 + 20 = 85 85 + -6m + -5m = 8m + -1(3m + -2) + -5m + 6 Combine like terms: -6m + -5m = -11m 85 + -11m = 8m + -1(3m + -2) + -5m + 6 Reorder the terms: 85 + -11m = 8m + -1(-2 + 3m) + -5m + 6 85 + -11m = 8m + (-2 * -1 + 3m * -1) + -5m + 6 85 + -11m = 8m + (2 + -3m) + -5m + 6 Reorder the terms: 85 + -11m = 2 + 6 + 8m + -3m + -5m Combine like terms: 2 + 6 = 8 85 + -11m = 8 + 8m + -3m + -5m Combine like terms: 8m + -3m = 5m 85 + -11m = 8 + 5m + -5m Combine like terms: 5m + -5m = 0 85 + -11m = 8 + 0 85 + -11m = 8 Solving 85 + -11m = 8 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-85' to each side of the equation. 85 + -85 + -11m = 8 + -85 Combine like terms: 85 + -85 = 0 0 + -11m = 8 + -85 -11m = 8 + -85 Combine like terms: 8 + -85 = -77 -11m = -77 Divide each side by '-11'. m = 7 Simplifying m = 7
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