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Simplifying 7.8 + 2.4 + -1m + -4.3 = 10.5 + 5.2 Reorder the terms: 7.8 + 2.4 + -4.3 + -1m = 10.5 + 5.2 Combine like terms: 7.8 + 2.4 = 10.2 10.2 + -4.3 + -1m = 10.5 + 5.2 Combine like terms: 10.2 + -4.3 = 5.9 5.9 + -1m = 10.5 + 5.2 Combine like terms: 10.5 + 5.2 = 15.7 5.9 + -1m = 15.7 Solving 5.9 + -1m = 15.7 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5.9' to each side of the equation. 5.9 + -5.9 + -1m = 15.7 + -5.9 Combine like terms: 5.9 + -5.9 = 0.0 0.0 + -1m = 15.7 + -5.9 -1m = 15.7 + -5.9 Combine like terms: 15.7 + -5.9 = 9.8 -1m = 9.8 Divide each side by '-1'. m = -9.8 Simplifying m = -9.8
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