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Simplifying (3m + -2) = 2(3m + 3) Reorder the terms: (-2 + 3m) = 2(3m + 3) Remove parenthesis around (-2 + 3m) -2 + 3m = 2(3m + 3) Reorder the terms: -2 + 3m = 2(3 + 3m) -2 + 3m = (3 * 2 + 3m * 2) -2 + 3m = (6 + 6m) Solving -2 + 3m = 6 + 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. -2 + 3m + -6m = 6 + 6m + -6m Combine like terms: 3m + -6m = -3m -2 + -3m = 6 + 6m + -6m Combine like terms: 6m + -6m = 0 -2 + -3m = 6 + 0 -2 + -3m = 6 Add '2' to each side of the equation. -2 + 2 + -3m = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -3m = 6 + 2 -3m = 6 + 2 Combine like terms: 6 + 2 = 8 -3m = 8 Divide each side by '-3'. m = -2.666666667 Simplifying m = -2.666666667
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