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Simplifying 2(m + 4) = 3(m + -2) Reorder the terms: 2(4 + m) = 3(m + -2) (4 * 2 + m * 2) = 3(m + -2) (8 + 2m) = 3(m + -2) Reorder the terms: 8 + 2m = 3(-2 + m) 8 + 2m = (-2 * 3 + m * 3) 8 + 2m = (-6 + 3m) Solving 8 + 2m = -6 + 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. 8 + 2m + -3m = -6 + 3m + -3m Combine like terms: 2m + -3m = -1m 8 + -1m = -6 + 3m + -3m Combine like terms: 3m + -3m = 0 8 + -1m = -6 + 0 8 + -1m = -6 Add '-8' to each side of the equation. 8 + -8 + -1m = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = -6 + -8 -1m = -6 + -8 Combine like terms: -6 + -8 = -14 -1m = -14 Divide each side by '-1'. m = 14 Simplifying m = 14
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