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Simplifying 3(3m + -2) = 3(m + 3) Reorder the terms: 3(-2 + 3m) = 3(m + 3) (-2 * 3 + 3m * 3) = 3(m + 3) (-6 + 9m) = 3(m + 3) Reorder the terms: -6 + 9m = 3(3 + m) -6 + 9m = (3 * 3 + m * 3) -6 + 9m = (9 + 3m) Solving -6 + 9m = 9 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -6 + 9m + -3m = 9 + 3m + -3m Combine like terms: 9m + -3m = 6m -6 + 6m = 9 + 3m + -3m Combine like terms: 3m + -3m = 0 -6 + 6m = 9 + 0 -6 + 6m = 9 Add '6' to each side of the equation. -6 + 6 + 6m = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 6m = 9 + 6 6m = 9 + 6 Combine like terms: 9 + 6 = 15 6m = 15 Divide each side by '6'. m = 2.5 Simplifying m = 2.5
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