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Simplifying 8(4 + -3m) = 4(3 + -5m) + 4m (4 * 8 + -3m * 8) = 4(3 + -5m) + 4m (32 + -24m) = 4(3 + -5m) + 4m 32 + -24m = (3 * 4 + -5m * 4) + 4m 32 + -24m = (12 + -20m) + 4m Combine like terms: -20m + 4m = -16m 32 + -24m = 12 + -16m Solving 32 + -24m = 12 + -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. 32 + -24m + 16m = 12 + -16m + 16m Combine like terms: -24m + 16m = -8m 32 + -8m = 12 + -16m + 16m Combine like terms: -16m + 16m = 0 32 + -8m = 12 + 0 32 + -8m = 12 Add '-32' to each side of the equation. 32 + -32 + -8m = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -8m = 12 + -32 -8m = 12 + -32 Combine like terms: 12 + -32 = -20 -8m = -20 Divide each side by '-8'. m = 2.5 Simplifying m = 2.5
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