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Simplifying 2(m + 6) + 2(m + -2) = 24 Reorder the terms: 2(6 + m) + 2(m + -2) = 24 (6 * 2 + m * 2) + 2(m + -2) = 24 (12 + 2m) + 2(m + -2) = 24 Reorder the terms: 12 + 2m + 2(-2 + m) = 24 12 + 2m + (-2 * 2 + m * 2) = 24 12 + 2m + (-4 + 2m) = 24 Reorder the terms: 12 + -4 + 2m + 2m = 24 Combine like terms: 12 + -4 = 8 8 + 2m + 2m = 24 Combine like terms: 2m + 2m = 4m 8 + 4m = 24 Solving 8 + 4m = 24 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4m = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 4m = 24 + -8 4m = 24 + -8 Combine like terms: 24 + -8 = 16 4m = 16 Divide each side by '4'. m = 4 Simplifying m = 4
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