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Simplifying -3m + 11 + -5(m + -1) = 6m + -1(9m + -6) + -2m + 4 Reorder the terms: -3m + 11 + -5(-1 + m) = 6m + -1(9m + -6) + -2m + 4 -3m + 11 + (-1 * -5 + m * -5) = 6m + -1(9m + -6) + -2m + 4 -3m + 11 + (5 + -5m) = 6m + -1(9m + -6) + -2m + 4 Reorder the terms: 11 + 5 + -3m + -5m = 6m + -1(9m + -6) + -2m + 4 Combine like terms: 11 + 5 = 16 16 + -3m + -5m = 6m + -1(9m + -6) + -2m + 4 Combine like terms: -3m + -5m = -8m 16 + -8m = 6m + -1(9m + -6) + -2m + 4 Reorder the terms: 16 + -8m = 6m + -1(-6 + 9m) + -2m + 4 16 + -8m = 6m + (-6 * -1 + 9m * -1) + -2m + 4 16 + -8m = 6m + (6 + -9m) + -2m + 4 Reorder the terms: 16 + -8m = 6 + 4 + 6m + -9m + -2m Combine like terms: 6 + 4 = 10 16 + -8m = 10 + 6m + -9m + -2m Combine like terms: 6m + -9m = -3m 16 + -8m = 10 + -3m + -2m Combine like terms: -3m + -2m = -5m 16 + -8m = 10 + -5m Solving 16 + -8m = 10 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 16 + -8m + 5m = 10 + -5m + 5m Combine like terms: -8m + 5m = -3m 16 + -3m = 10 + -5m + 5m Combine like terms: -5m + 5m = 0 16 + -3m = 10 + 0 16 + -3m = 10 Add '-16' to each side of the equation. 16 + -16 + -3m = 10 + -16 Combine like terms: 16 + -16 = 0 0 + -3m = 10 + -16 -3m = 10 + -16 Combine like terms: 10 + -16 = -6 -3m = -6 Divide each side by '-3'. m = 2 Simplifying m = 2
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