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Simplifying 2(3 + 4m) + -9 = 5(9 + -3m) + 21 (3 * 2 + 4m * 2) + -9 = 5(9 + -3m) + 21 (6 + 8m) + -9 = 5(9 + -3m) + 21 Reorder the terms: 6 + -9 + 8m = 5(9 + -3m) + 21 Combine like terms: 6 + -9 = -3 -3 + 8m = 5(9 + -3m) + 21 -3 + 8m = (9 * 5 + -3m * 5) + 21 -3 + 8m = (45 + -15m) + 21 Reorder the terms: -3 + 8m = 45 + 21 + -15m Combine like terms: 45 + 21 = 66 -3 + 8m = 66 + -15m Solving -3 + 8m = 66 + -15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '15m' to each side of the equation. -3 + 8m + 15m = 66 + -15m + 15m Combine like terms: 8m + 15m = 23m -3 + 23m = 66 + -15m + 15m Combine like terms: -15m + 15m = 0 -3 + 23m = 66 + 0 -3 + 23m = 66 Add '3' to each side of the equation. -3 + 3 + 23m = 66 + 3 Combine like terms: -3 + 3 = 0 0 + 23m = 66 + 3 23m = 66 + 3 Combine like terms: 66 + 3 = 69 23m = 69 Divide each side by '23'. m = 3 Simplifying m = 3
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