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Simplifying 19.79 + 4.5m = -9.8m + -15.47 + 6.1m Reorder the terms: 19.79 + 4.5m = -15.47 + -9.8m + 6.1m Combine like terms: -9.8m + 6.1m = -3.7m 19.79 + 4.5m = -15.47 + -3.7m Solving 19.79 + 4.5m = -15.47 + -3.7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3.7m' to each side of the equation. 19.79 + 4.5m + 3.7m = -15.47 + -3.7m + 3.7m Combine like terms: 4.5m + 3.7m = 8.2m 19.79 + 8.2m = -15.47 + -3.7m + 3.7m Combine like terms: -3.7m + 3.7m = 0.0 19.79 + 8.2m = -15.47 + 0.0 19.79 + 8.2m = -15.47 Add '-19.79' to each side of the equation. 19.79 + -19.79 + 8.2m = -15.47 + -19.79 Combine like terms: 19.79 + -19.79 = 0.00 0.00 + 8.2m = -15.47 + -19.79 8.2m = -15.47 + -19.79 Combine like terms: -15.47 + -19.79 = -35.26 8.2m = -35.26 Divide each side by '8.2'. m = -4.3 Simplifying m = -4.3
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