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Simplifying 3(3m + -1) = 4(2m + 5) Reorder the terms: 3(-1 + 3m) = 4(2m + 5) (-1 * 3 + 3m * 3) = 4(2m + 5) (-3 + 9m) = 4(2m + 5) Reorder the terms: -3 + 9m = 4(5 + 2m) -3 + 9m = (5 * 4 + 2m * 4) -3 + 9m = (20 + 8m) Solving -3 + 9m = 20 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -3 + 9m + -8m = 20 + 8m + -8m Combine like terms: 9m + -8m = 1m -3 + 1m = 20 + 8m + -8m Combine like terms: 8m + -8m = 0 -3 + 1m = 20 + 0 -3 + 1m = 20 Add '3' to each side of the equation. -3 + 3 + 1m = 20 + 3 Combine like terms: -3 + 3 = 0 0 + 1m = 20 + 3 1m = 20 + 3 Combine like terms: 20 + 3 = 23 1m = 23 Divide each side by '1'. m = 23 Simplifying m = 23
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