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Simplifying 8.7 = 3.5m + -5(5.4 + -6m) 8.7 = 3.5m + (5.4 * -5 + -6m * -5) 8.7 = 3.5m + (-27 + 30m) Reorder the terms: 8.7 = -27 + 3.5m + 30m Combine like terms: 3.5m + 30m = 33.5m 8.7 = -27 + 33.5m Solving 8.7 = -27 + 33.5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-33.5m' to each side of the equation. 8.7 + -33.5m = -27 + 33.5m + -33.5m Combine like terms: 33.5m + -33.5m = 0.0 8.7 + -33.5m = -27 + 0.0 8.7 + -33.5m = -27 Add '-8.7' to each side of the equation. 8.7 + -8.7 + -33.5m = -27 + -8.7 Combine like terms: 8.7 + -8.7 = 0.0 0.0 + -33.5m = -27 + -8.7 -33.5m = -27 + -8.7 Combine like terms: -27 + -8.7 = -35.7 -33.5m = -35.7 Divide each side by '-33.5'. m = 1.065671642 Simplifying m = 1.065671642
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