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Simplifying 24(m + -1) = 12m + 8 + 4m Reorder the terms: 24(-1 + m) = 12m + 8 + 4m (-1 * 24 + m * 24) = 12m + 8 + 4m (-24 + 24m) = 12m + 8 + 4m Reorder the terms: -24 + 24m = 8 + 12m + 4m Combine like terms: 12m + 4m = 16m -24 + 24m = 8 + 16m Solving -24 + 24m = 8 + 16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. -24 + 24m + -16m = 8 + 16m + -16m Combine like terms: 24m + -16m = 8m -24 + 8m = 8 + 16m + -16m Combine like terms: 16m + -16m = 0 -24 + 8m = 8 + 0 -24 + 8m = 8 Add '24' to each side of the equation. -24 + 24 + 8m = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 8m = 8 + 24 8m = 8 + 24 Combine like terms: 8 + 24 = 32 8m = 32 Divide each side by '8'. m = 4 Simplifying m = 4
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