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Simplifying 1.4 + 2.4 = 0.8g + 8.1 Combine like terms: 1.4 + 2.4 = 3.8 3.8 = 0.8g + 8.1 Reorder the terms: 3.8 = 8.1 + 0.8g Solving 3.8 = 8.1 + 0.8g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-0.8g' to each side of the equation. 3.8 + -0.8g = 8.1 + 0.8g + -0.8g Combine like terms: 0.8g + -0.8g = 0.0 3.8 + -0.8g = 8.1 + 0.0 3.8 + -0.8g = 8.1 Add '-3.8' to each side of the equation. 3.8 + -3.8 + -0.8g = 8.1 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + -0.8g = 8.1 + -3.8 -0.8g = 8.1 + -3.8 Combine like terms: 8.1 + -3.8 = 4.3 -0.8g = 4.3 Divide each side by '-0.8'. g = -5.375 Simplifying g = -5.375
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