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