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Simplifying 4(10m + 12) = 2(16 + 12m) Reorder the terms: 4(12 + 10m) = 2(16 + 12m) (12 * 4 + 10m * 4) = 2(16 + 12m) (48 + 40m) = 2(16 + 12m) 48 + 40m = (16 * 2 + 12m * 2) 48 + 40m = (32 + 24m) Solving 48 + 40m = 32 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. 48 + 40m + -24m = 32 + 24m + -24m Combine like terms: 40m + -24m = 16m 48 + 16m = 32 + 24m + -24m Combine like terms: 24m + -24m = 0 48 + 16m = 32 + 0 48 + 16m = 32 Add '-48' to each side of the equation. 48 + -48 + 16m = 32 + -48 Combine like terms: 48 + -48 = 0 0 + 16m = 32 + -48 16m = 32 + -48 Combine like terms: 32 + -48 = -16 16m = -16 Divide each side by '16'. m = -1 Simplifying m = -1
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