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Simplifying 3(m + 3) + -3(4 + -5m) = 17(m + 1) + 7 Reorder the terms: 3(3 + m) + -3(4 + -5m) = 17(m + 1) + 7 (3 * 3 + m * 3) + -3(4 + -5m) = 17(m + 1) + 7 (9 + 3m) + -3(4 + -5m) = 17(m + 1) + 7 9 + 3m + (4 * -3 + -5m * -3) = 17(m + 1) + 7 9 + 3m + (-12 + 15m) = 17(m + 1) + 7 Reorder the terms: 9 + -12 + 3m + 15m = 17(m + 1) + 7 Combine like terms: 9 + -12 = -3 -3 + 3m + 15m = 17(m + 1) + 7 Combine like terms: 3m + 15m = 18m -3 + 18m = 17(m + 1) + 7 Reorder the terms: -3 + 18m = 17(1 + m) + 7 -3 + 18m = (1 * 17 + m * 17) + 7 -3 + 18m = (17 + 17m) + 7 Reorder the terms: -3 + 18m = 17 + 7 + 17m Combine like terms: 17 + 7 = 24 -3 + 18m = 24 + 17m Solving -3 + 18m = 24 + 17m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-17m' to each side of the equation. -3 + 18m + -17m = 24 + 17m + -17m Combine like terms: 18m + -17m = 1m -3 + 1m = 24 + 17m + -17m Combine like terms: 17m + -17m = 0 -3 + 1m = 24 + 0 -3 + 1m = 24 Add '3' to each side of the equation. -3 + 3 + 1m = 24 + 3 Combine like terms: -3 + 3 = 0 0 + 1m = 24 + 3 1m = 24 + 3 Combine like terms: 24 + 3 = 27 1m = 27 Divide each side by '1'. m = 27 Simplifying m = 27
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