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Simplifying 8.7 = 3.5m + -2.5(-5.4 + -6m) 8.7 = 3.5m + (-5.4 * -2.5 + -6m * -2.5) 8.7 = 3.5m + (13.5 + 15m) Reorder the terms: 8.7 = 13.5 + 3.5m + 15m Combine like terms: 3.5m + 15m = 18.5m 8.7 = 13.5 + 18.5m Solving 8.7 = 13.5 + 18.5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18.5m' to each side of the equation. 8.7 + -18.5m = 13.5 + 18.5m + -18.5m Combine like terms: 18.5m + -18.5m = 0.0 8.7 + -18.5m = 13.5 + 0.0 8.7 + -18.5m = 13.5 Add '-8.7' to each side of the equation. 8.7 + -8.7 + -18.5m = 13.5 + -8.7 Combine like terms: 8.7 + -8.7 = 0.0 0.0 + -18.5m = 13.5 + -8.7 -18.5m = 13.5 + -8.7 Combine like terms: 13.5 + -8.7 = 4.8 -18.5m = 4.8 Divide each side by '-18.5'. m = -0.2594594595 Simplifying m = -0.2594594595
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