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Simplifying 8.3m + 19.4 = (-12.7) + -3.7m Reorder the terms: 19.4 + 8.3m = (-12.7) + -3.7m 19.4 + 8.3m = -12.7 + -3.7m Solving 19.4 + 8.3m = -12.7 + -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. 19.4 + 8.3m + 3.7m = -12.7 + -3.7m + 3.7m Combine like terms: 8.3m + 3.7m = 12m 19.4 + 12m = -12.7 + -3.7m + 3.7m Combine like terms: -3.7m + 3.7m = 0.0 19.4 + 12m = -12.7 + 0.0 19.4 + 12m = -12.7 Add '-19.4' to each side of the equation. 19.4 + -19.4 + 12m = -12.7 + -19.4 Combine like terms: 19.4 + -19.4 = 0.0 0.0 + 12m = -12.7 + -19.4 12m = -12.7 + -19.4 Combine like terms: -12.7 + -19.4 = -32.1 12m = -32.1 Divide each side by '12'. m = -2.675 Simplifying m = -2.675
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