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Simplifying -3m + 26 + -2(m + -3) = 9m + -1(4m + -9) + -6m + 7 Reorder the terms: -3m + 26 + -2(-3 + m) = 9m + -1(4m + -9) + -6m + 7 -3m + 26 + (-3 * -2 + m * -2) = 9m + -1(4m + -9) + -6m + 7 -3m + 26 + (6 + -2m) = 9m + -1(4m + -9) + -6m + 7 Reorder the terms: 26 + 6 + -3m + -2m = 9m + -1(4m + -9) + -6m + 7 Combine like terms: 26 + 6 = 32 32 + -3m + -2m = 9m + -1(4m + -9) + -6m + 7 Combine like terms: -3m + -2m = -5m 32 + -5m = 9m + -1(4m + -9) + -6m + 7 Reorder the terms: 32 + -5m = 9m + -1(-9 + 4m) + -6m + 7 32 + -5m = 9m + (-9 * -1 + 4m * -1) + -6m + 7 32 + -5m = 9m + (9 + -4m) + -6m + 7 Reorder the terms: 32 + -5m = 9 + 7 + 9m + -4m + -6m Combine like terms: 9 + 7 = 16 32 + -5m = 16 + 9m + -4m + -6m Combine like terms: 9m + -4m = 5m 32 + -5m = 16 + 5m + -6m Combine like terms: 5m + -6m = -1m 32 + -5m = 16 + -1m Solving 32 + -5m = 16 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 32 + -5m + m = 16 + -1m + m Combine like terms: -5m + m = -4m 32 + -4m = 16 + -1m + m Combine like terms: -1m + m = 0 32 + -4m = 16 + 0 32 + -4m = 16 Add '-32' to each side of the equation. 32 + -32 + -4m = 16 + -32 Combine like terms: 32 + -32 = 0 0 + -4m = 16 + -32 -4m = 16 + -32 Combine like terms: 16 + -32 = -16 -4m = -16 Divide each side by '-4'. m = 4 Simplifying m = 4
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