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Simplifying 85.2 = -6.8m + -7.5(1.2 + -3m) 85.2 = -6.8m + (1.2 * -7.5 + -3m * -7.5) 85.2 = -6.8m + (-9 + 22.5m) Reorder the terms: 85.2 = -9 + -6.8m + 22.5m Combine like terms: -6.8m + 22.5m = 15.7m 85.2 = -9 + 15.7m Solving 85.2 = -9 + 15.7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15.7m' to each side of the equation. 85.2 + -15.7m = -9 + 15.7m + -15.7m Combine like terms: 15.7m + -15.7m = 0.0 85.2 + -15.7m = -9 + 0.0 85.2 + -15.7m = -9 Add '-85.2' to each side of the equation. 85.2 + -85.2 + -15.7m = -9 + -85.2 Combine like terms: 85.2 + -85.2 = 0.0 0.0 + -15.7m = -9 + -85.2 -15.7m = -9 + -85.2 Combine like terms: -9 + -85.2 = -94.2 -15.7m = -94.2 Divide each side by '-15.7'. m = 6 Simplifying m = 6
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