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Simplifying 3(3m + -2) = 2(3m + 3) * 2 Reorder the terms: 3(-2 + 3m) = 2(3m + 3) * 2 (-2 * 3 + 3m * 3) = 2(3m + 3) * 2 (-6 + 9m) = 2(3m + 3) * 2 Reorder the terms: -6 + 9m = 2(3 + 3m) * 2 Reorder the terms for easier multiplication: -6 + 9m = 2 * 2(3 + 3m) Multiply 2 * 2 -6 + 9m = 4(3 + 3m) -6 + 9m = (3 * 4 + 3m * 4) -6 + 9m = (12 + 12m) Solving -6 + 9m = 12 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. -6 + 9m + -12m = 12 + 12m + -12m Combine like terms: 9m + -12m = -3m -6 + -3m = 12 + 12m + -12m Combine like terms: 12m + -12m = 0 -6 + -3m = 12 + 0 -6 + -3m = 12 Add '6' to each side of the equation. -6 + 6 + -3m = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -3m = 12 + 6 -3m = 12 + 6 Combine like terms: 12 + 6 = 18 -3m = 18 Divide each side by '-3'. m = -6 Simplifying m = -6
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