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Simplifying 4(m + 8) = 12 + m Reorder the terms: 4(8 + m) = 12 + m (8 * 4 + m * 4) = 12 + m (32 + 4m) = 12 + m Solving 32 + 4m = 12 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 32 + 4m + -1m = 12 + m + -1m Combine like terms: 4m + -1m = 3m 32 + 3m = 12 + m + -1m Combine like terms: m + -1m = 0 32 + 3m = 12 + 0 32 + 3m = 12 Add '-32' to each side of the equation. 32 + -32 + 3m = 12 + -32 Combine like terms: 32 + -32 = 0 0 + 3m = 12 + -32 3m = 12 + -32 Combine like terms: 12 + -32 = -20 3m = -20 Divide each side by '3'. m = -6.666666667 Simplifying m = -6.666666667
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