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Simplifying -9m + 40 + -1(m + -1) = 3m + -1(4m + -6) + -5m + 3 Reorder the terms: -9m + 40 + -1(-1 + m) = 3m + -1(4m + -6) + -5m + 3 -9m + 40 + (-1 * -1 + m * -1) = 3m + -1(4m + -6) + -5m + 3 -9m + 40 + (1 + -1m) = 3m + -1(4m + -6) + -5m + 3 Reorder the terms: 40 + 1 + -9m + -1m = 3m + -1(4m + -6) + -5m + 3 Combine like terms: 40 + 1 = 41 41 + -9m + -1m = 3m + -1(4m + -6) + -5m + 3 Combine like terms: -9m + -1m = -10m 41 + -10m = 3m + -1(4m + -6) + -5m + 3 Reorder the terms: 41 + -10m = 3m + -1(-6 + 4m) + -5m + 3 41 + -10m = 3m + (-6 * -1 + 4m * -1) + -5m + 3 41 + -10m = 3m + (6 + -4m) + -5m + 3 Reorder the terms: 41 + -10m = 6 + 3 + 3m + -4m + -5m Combine like terms: 6 + 3 = 9 41 + -10m = 9 + 3m + -4m + -5m Combine like terms: 3m + -4m = -1m 41 + -10m = 9 + -1m + -5m Combine like terms: -1m + -5m = -6m 41 + -10m = 9 + -6m Solving 41 + -10m = 9 + -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. 41 + -10m + 6m = 9 + -6m + 6m Combine like terms: -10m + 6m = -4m 41 + -4m = 9 + -6m + 6m Combine like terms: -6m + 6m = 0 41 + -4m = 9 + 0 41 + -4m = 9 Add '-41' to each side of the equation. 41 + -41 + -4m = 9 + -41 Combine like terms: 41 + -41 = 0 0 + -4m = 9 + -41 -4m = 9 + -41 Combine like terms: 9 + -41 = -32 -4m = -32 Divide each side by '-4'. m = 8 Simplifying m = 8
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