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Simplifying 2(m + -2) = 3(m + 4) Reorder the terms: 2(-2 + m) = 3(m + 4) (-2 * 2 + m * 2) = 3(m + 4) (-4 + 2m) = 3(m + 4) Reorder the terms: -4 + 2m = 3(4 + m) -4 + 2m = (4 * 3 + m * 3) -4 + 2m = (12 + 3m) Solving -4 + 2m = 12 + 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. -4 + 2m + -3m = 12 + 3m + -3m Combine like terms: 2m + -3m = -1m -4 + -1m = 12 + 3m + -3m Combine like terms: 3m + -3m = 0 -4 + -1m = 12 + 0 -4 + -1m = 12 Add '4' to each side of the equation. -4 + 4 + -1m = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -1m = 12 + 4 -1m = 12 + 4 Combine like terms: 12 + 4 = 16 -1m = 16 Divide each side by '-1'. m = -16 Simplifying m = -16
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