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Simplifying -8m + 47 + -6(m + -2) = 6m + -1(5m + -9) + -3m + 2 Reorder the terms: -8m + 47 + -6(-2 + m) = 6m + -1(5m + -9) + -3m + 2 -8m + 47 + (-2 * -6 + m * -6) = 6m + -1(5m + -9) + -3m + 2 -8m + 47 + (12 + -6m) = 6m + -1(5m + -9) + -3m + 2 Reorder the terms: 47 + 12 + -8m + -6m = 6m + -1(5m + -9) + -3m + 2 Combine like terms: 47 + 12 = 59 59 + -8m + -6m = 6m + -1(5m + -9) + -3m + 2 Combine like terms: -8m + -6m = -14m 59 + -14m = 6m + -1(5m + -9) + -3m + 2 Reorder the terms: 59 + -14m = 6m + -1(-9 + 5m) + -3m + 2 59 + -14m = 6m + (-9 * -1 + 5m * -1) + -3m + 2 59 + -14m = 6m + (9 + -5m) + -3m + 2 Reorder the terms: 59 + -14m = 9 + 2 + 6m + -5m + -3m Combine like terms: 9 + 2 = 11 59 + -14m = 11 + 6m + -5m + -3m Combine like terms: 6m + -5m = 1m 59 + -14m = 11 + 1m + -3m Combine like terms: 1m + -3m = -2m 59 + -14m = 11 + -2m Solving 59 + -14m = 11 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 59 + -14m + 2m = 11 + -2m + 2m Combine like terms: -14m + 2m = -12m 59 + -12m = 11 + -2m + 2m Combine like terms: -2m + 2m = 0 59 + -12m = 11 + 0 59 + -12m = 11 Add '-59' to each side of the equation. 59 + -59 + -12m = 11 + -59 Combine like terms: 59 + -59 = 0 0 + -12m = 11 + -59 -12m = 11 + -59 Combine like terms: 11 + -59 = -48 -12m = -48 Divide each side by '-12'. m = 4 Simplifying m = 4
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