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Simplifying 6(3m + -4) = 3(3m + 1) Reorder the terms: 6(-4 + 3m) = 3(3m + 1) (-4 * 6 + 3m * 6) = 3(3m + 1) (-24 + 18m) = 3(3m + 1) Reorder the terms: -24 + 18m = 3(1 + 3m) -24 + 18m = (1 * 3 + 3m * 3) -24 + 18m = (3 + 9m) Solving -24 + 18m = 3 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -24 + 18m + -9m = 3 + 9m + -9m Combine like terms: 18m + -9m = 9m -24 + 9m = 3 + 9m + -9m Combine like terms: 9m + -9m = 0 -24 + 9m = 3 + 0 -24 + 9m = 3 Add '24' to each side of the equation. -24 + 24 + 9m = 3 + 24 Combine like terms: -24 + 24 = 0 0 + 9m = 3 + 24 9m = 3 + 24 Combine like terms: 3 + 24 = 27 9m = 27 Divide each side by '9'. m = 3 Simplifying m = 3
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