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Simplifying 4(m + 3) = 32 + 2m Reorder the terms: 4(3 + m) = 32 + 2m (3 * 4 + m * 4) = 32 + 2m (12 + 4m) = 32 + 2m Solving 12 + 4m = 32 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 12 + 4m + -2m = 32 + 2m + -2m Combine like terms: 4m + -2m = 2m 12 + 2m = 32 + 2m + -2m Combine like terms: 2m + -2m = 0 12 + 2m = 32 + 0 12 + 2m = 32 Add '-12' to each side of the equation. 12 + -12 + 2m = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 2m = 32 + -12 2m = 32 + -12 Combine like terms: 32 + -12 = 20 2m = 20 Divide each side by '2'. m = 10 Simplifying m = 10
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