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Simplifying 3.6m + 8.7 + -21m = -5.9 + 1.5m + 14.6 Reorder the terms: 8.7 + 3.6m + -21m = -5.9 + 1.5m + 14.6 Combine like terms: 3.6m + -21m = -17.4m 8.7 + -17.4m = -5.9 + 1.5m + 14.6 Reorder the terms: 8.7 + -17.4m = -5.9 + 14.6 + 1.5m Combine like terms: -5.9 + 14.6 = 8.7 8.7 + -17.4m = 8.7 + 1.5m Add '-8.7' to each side of the equation. 8.7 + -8.7 + -17.4m = 8.7 + -8.7 + 1.5m Combine like terms: 8.7 + -8.7 = 0.0 0.0 + -17.4m = 8.7 + -8.7 + 1.5m -17.4m = 8.7 + -8.7 + 1.5m Combine like terms: 8.7 + -8.7 = 0.0 -17.4m = 0.0 + 1.5m -17.4m = 1.5m Solving -17.4m = 1.5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1.5m' to each side of the equation. -17.4m + -1.5m = 1.5m + -1.5m Combine like terms: -17.4m + -1.5m = -18.9m -18.9m = 1.5m + -1.5m Combine like terms: 1.5m + -1.5m = 0.0 -18.9m = 0.0 Divide each side by '-18.9'. m = 0 Simplifying m = 0
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