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Simplifying 3(3m + 6 + -2m) + 4 + (2m + 7) = 2m + 7 + -1m Reorder the terms: 3(6 + 3m + -2m) + 4 + (2m + 7) = 2m + 7 + -1m Combine like terms: 3m + -2m = 1m 3(6 + 1m) + 4 + (2m + 7) = 2m + 7 + -1m (6 * 3 + 1m * 3) + 4 + (2m + 7) = 2m + 7 + -1m (18 + 3m) + 4 + (2m + 7) = 2m + 7 + -1m Reorder the terms: 18 + 3m + 4 + (7 + 2m) = 2m + 7 + -1m Remove parenthesis around (7 + 2m) 18 + 3m + 4 + 7 + 2m = 2m + 7 + -1m Reorder the terms: 18 + 4 + 7 + 3m + 2m = 2m + 7 + -1m Combine like terms: 18 + 4 = 22 22 + 7 + 3m + 2m = 2m + 7 + -1m Combine like terms: 22 + 7 = 29 29 + 3m + 2m = 2m + 7 + -1m Combine like terms: 3m + 2m = 5m 29 + 5m = 2m + 7 + -1m Reorder the terms: 29 + 5m = 7 + 2m + -1m Combine like terms: 2m + -1m = 1m 29 + 5m = 7 + 1m Solving 29 + 5m = 7 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 29 + 5m + -1m = 7 + 1m + -1m Combine like terms: 5m + -1m = 4m 29 + 4m = 7 + 1m + -1m Combine like terms: 1m + -1m = 0 29 + 4m = 7 + 0 29 + 4m = 7 Add '-29' to each side of the equation. 29 + -29 + 4m = 7 + -29 Combine like terms: 29 + -29 = 0 0 + 4m = 7 + -29 4m = 7 + -29 Combine like terms: 7 + -29 = -22 4m = -22 Divide each side by '4'. m = -5.5 Simplifying m = -5.5
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