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Simplifying 24(3m + -1) = 6(8m + 4) Reorder the terms: 24(-1 + 3m) = 6(8m + 4) (-1 * 24 + 3m * 24) = 6(8m + 4) (-24 + 72m) = 6(8m + 4) Reorder the terms: -24 + 72m = 6(4 + 8m) -24 + 72m = (4 * 6 + 8m * 6) -24 + 72m = (24 + 48m) Solving -24 + 72m = 24 + 48m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-48m' to each side of the equation. -24 + 72m + -48m = 24 + 48m + -48m Combine like terms: 72m + -48m = 24m -24 + 24m = 24 + 48m + -48m Combine like terms: 48m + -48m = 0 -24 + 24m = 24 + 0 -24 + 24m = 24 Add '24' to each side of the equation. -24 + 24 + 24m = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 24m = 24 + 24 24m = 24 + 24 Combine like terms: 24 + 24 = 48 24m = 48 Divide each side by '24'. m = 2 Simplifying m = 2
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