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Simplifying 8(m + 4) + -24 = 12m Reorder the terms: 8(4 + m) + -24 = 12m (4 * 8 + m * 8) + -24 = 12m (32 + 8m) + -24 = 12m Reorder the terms: 32 + -24 + 8m = 12m Combine like terms: 32 + -24 = 8 8 + 8m = 12m Solving 8 + 8m = 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 8 + 8m + -12m = 12m + -12m Combine like terms: 8m + -12m = -4m 8 + -4m = 12m + -12m Combine like terms: 12m + -12m = 0 8 + -4m = 0 Add '-8' to each side of the equation. 8 + -8 + -4m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4m = 0 + -8 -4m = 0 + -8 Combine like terms: 0 + -8 = -8 -4m = -8 Divide each side by '-4'. m = 2 Simplifying m = 2
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