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Simplifying 8(9m + 4) = -4(3m + 8) Reorder the terms: 8(4 + 9m) = -4(3m + 8) (4 * 8 + 9m * 8) = -4(3m + 8) (32 + 72m) = -4(3m + 8) Reorder the terms: 32 + 72m = -4(8 + 3m) 32 + 72m = (8 * -4 + 3m * -4) 32 + 72m = (-32 + -12m) Solving 32 + 72m = -32 + -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. 32 + 72m + 12m = -32 + -12m + 12m Combine like terms: 72m + 12m = 84m 32 + 84m = -32 + -12m + 12m Combine like terms: -12m + 12m = 0 32 + 84m = -32 + 0 32 + 84m = -32 Add '-32' to each side of the equation. 32 + -32 + 84m = -32 + -32 Combine like terms: 32 + -32 = 0 0 + 84m = -32 + -32 84m = -32 + -32 Combine like terms: -32 + -32 = -64 84m = -64 Divide each side by '84'. m = -0.7619047619 Simplifying m = -0.7619047619
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