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Simplifying 3(3 + m) + m = 5(4m + 7) + 3m (3 * 3 + m * 3) + m = 5(4m + 7) + 3m (9 + 3m) + m = 5(4m + 7) + 3m Combine like terms: 3m + m = 4m 9 + 4m = 5(4m + 7) + 3m Reorder the terms: 9 + 4m = 5(7 + 4m) + 3m 9 + 4m = (7 * 5 + 4m * 5) + 3m 9 + 4m = (35 + 20m) + 3m Combine like terms: 20m + 3m = 23m 9 + 4m = 35 + 23m Solving 9 + 4m = 35 + 23m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-23m' to each side of the equation. 9 + 4m + -23m = 35 + 23m + -23m Combine like terms: 4m + -23m = -19m 9 + -19m = 35 + 23m + -23m Combine like terms: 23m + -23m = 0 9 + -19m = 35 + 0 9 + -19m = 35 Add '-9' to each side of the equation. 9 + -9 + -19m = 35 + -9 Combine like terms: 9 + -9 = 0 0 + -19m = 35 + -9 -19m = 35 + -9 Combine like terms: 35 + -9 = 26 -19m = 26 Divide each side by '-19'. m = -1.368421053 Simplifying m = -1.368421053
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