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Simplifying 2(m + 2) = 12 + -6m Reorder the terms: 2(2 + m) = 12 + -6m (2 * 2 + m * 2) = 12 + -6m (4 + 2m) = 12 + -6m Solving 4 + 2m = 12 + -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. 4 + 2m + 6m = 12 + -6m + 6m Combine like terms: 2m + 6m = 8m 4 + 8m = 12 + -6m + 6m Combine like terms: -6m + 6m = 0 4 + 8m = 12 + 0 4 + 8m = 12 Add '-4' to each side of the equation. 4 + -4 + 8m = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 8m = 12 + -4 8m = 12 + -4 Combine like terms: 12 + -4 = 8 8m = 8 Divide each side by '8'. m = 1 Simplifying m = 1
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