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Simplifying -3m + 14 + -9(m + -2) = 6m + -1(2m + -1) + -8m + 7 Reorder the terms: -3m + 14 + -9(-2 + m) = 6m + -1(2m + -1) + -8m + 7 -3m + 14 + (-2 * -9 + m * -9) = 6m + -1(2m + -1) + -8m + 7 -3m + 14 + (18 + -9m) = 6m + -1(2m + -1) + -8m + 7 Reorder the terms: 14 + 18 + -3m + -9m = 6m + -1(2m + -1) + -8m + 7 Combine like terms: 14 + 18 = 32 32 + -3m + -9m = 6m + -1(2m + -1) + -8m + 7 Combine like terms: -3m + -9m = -12m 32 + -12m = 6m + -1(2m + -1) + -8m + 7 Reorder the terms: 32 + -12m = 6m + -1(-1 + 2m) + -8m + 7 32 + -12m = 6m + (-1 * -1 + 2m * -1) + -8m + 7 32 + -12m = 6m + (1 + -2m) + -8m + 7 Reorder the terms: 32 + -12m = 1 + 7 + 6m + -2m + -8m Combine like terms: 1 + 7 = 8 32 + -12m = 8 + 6m + -2m + -8m Combine like terms: 6m + -2m = 4m 32 + -12m = 8 + 4m + -8m Combine like terms: 4m + -8m = -4m 32 + -12m = 8 + -4m Solving 32 + -12m = 8 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 32 + -12m + 4m = 8 + -4m + 4m Combine like terms: -12m + 4m = -8m 32 + -8m = 8 + -4m + 4m Combine like terms: -4m + 4m = 0 32 + -8m = 8 + 0 32 + -8m = 8 Add '-32' to each side of the equation. 32 + -32 + -8m = 8 + -32 Combine like terms: 32 + -32 = 0 0 + -8m = 8 + -32 -8m = 8 + -32 Combine like terms: 8 + -32 = -24 -8m = -24 Divide each side by '-8'. m = 3 Simplifying m = 3
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