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Simplifying -6m + 26 + -3(m + -2) = 3m + -1(4m + -3) + -5m + 8 Reorder the terms: -6m + 26 + -3(-2 + m) = 3m + -1(4m + -3) + -5m + 8 -6m + 26 + (-2 * -3 + m * -3) = 3m + -1(4m + -3) + -5m + 8 -6m + 26 + (6 + -3m) = 3m + -1(4m + -3) + -5m + 8 Reorder the terms: 26 + 6 + -6m + -3m = 3m + -1(4m + -3) + -5m + 8 Combine like terms: 26 + 6 = 32 32 + -6m + -3m = 3m + -1(4m + -3) + -5m + 8 Combine like terms: -6m + -3m = -9m 32 + -9m = 3m + -1(4m + -3) + -5m + 8 Reorder the terms: 32 + -9m = 3m + -1(-3 + 4m) + -5m + 8 32 + -9m = 3m + (-3 * -1 + 4m * -1) + -5m + 8 32 + -9m = 3m + (3 + -4m) + -5m + 8 Reorder the terms: 32 + -9m = 3 + 8 + 3m + -4m + -5m Combine like terms: 3 + 8 = 11 32 + -9m = 11 + 3m + -4m + -5m Combine like terms: 3m + -4m = -1m 32 + -9m = 11 + -1m + -5m Combine like terms: -1m + -5m = -6m 32 + -9m = 11 + -6m Solving 32 + -9m = 11 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 32 + -9m + 6m = 11 + -6m + 6m Combine like terms: -9m + 6m = -3m 32 + -3m = 11 + -6m + 6m Combine like terms: -6m + 6m = 0 32 + -3m = 11 + 0 32 + -3m = 11 Add '-32' to each side of the equation. 32 + -32 + -3m = 11 + -32 Combine like terms: 32 + -32 = 0 0 + -3m = 11 + -32 -3m = 11 + -32 Combine like terms: 11 + -32 = -21 -3m = -21 Divide each side by '-3'. m = 7 Simplifying m = 7
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