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Simplifying -3m + -33 + -9(m + -6) = 4m + -1(5m + -4) + -9m + 3 Reorder the terms: -3m + -33 + -9(-6 + m) = 4m + -1(5m + -4) + -9m + 3 -3m + -33 + (-6 * -9 + m * -9) = 4m + -1(5m + -4) + -9m + 3 -3m + -33 + (54 + -9m) = 4m + -1(5m + -4) + -9m + 3 Reorder the terms: -33 + 54 + -3m + -9m = 4m + -1(5m + -4) + -9m + 3 Combine like terms: -33 + 54 = 21 21 + -3m + -9m = 4m + -1(5m + -4) + -9m + 3 Combine like terms: -3m + -9m = -12m 21 + -12m = 4m + -1(5m + -4) + -9m + 3 Reorder the terms: 21 + -12m = 4m + -1(-4 + 5m) + -9m + 3 21 + -12m = 4m + (-4 * -1 + 5m * -1) + -9m + 3 21 + -12m = 4m + (4 + -5m) + -9m + 3 Reorder the terms: 21 + -12m = 4 + 3 + 4m + -5m + -9m Combine like terms: 4 + 3 = 7 21 + -12m = 7 + 4m + -5m + -9m Combine like terms: 4m + -5m = -1m 21 + -12m = 7 + -1m + -9m Combine like terms: -1m + -9m = -10m 21 + -12m = 7 + -10m Solving 21 + -12m = 7 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. 21 + -12m + 10m = 7 + -10m + 10m Combine like terms: -12m + 10m = -2m 21 + -2m = 7 + -10m + 10m Combine like terms: -10m + 10m = 0 21 + -2m = 7 + 0 21 + -2m = 7 Add '-21' to each side of the equation. 21 + -21 + -2m = 7 + -21 Combine like terms: 21 + -21 = 0 0 + -2m = 7 + -21 -2m = 7 + -21 Combine like terms: 7 + -21 = -14 -2m = -14 Divide each side by '-2'. m = 7 Simplifying m = 7
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