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Simplifying 3.9 = 2.5(g + -4) + 1.5(g + 5) Reorder the terms: 3.9 = 2.5(-4 + g) + 1.5(g + 5) 3.9 = (-4 * 2.5 + g * 2.5) + 1.5(g + 5) 3.9 = (-10 + 2.5g) + 1.5(g + 5) Reorder the terms: 3.9 = -10 + 2.5g + 1.5(5 + g) 3.9 = -10 + 2.5g + (5 * 1.5 + g * 1.5) 3.9 = -10 + 2.5g + (7.5 + 1.5g) Reorder the terms: 3.9 = -10 + 7.5 + 2.5g + 1.5g Combine like terms: -10 + 7.5 = -2.5 3.9 = -2.5 + 2.5g + 1.5g Combine like terms: 2.5g + 1.5g = 4g 3.9 = -2.5 + 4g Solving 3.9 = -2.5 + 4g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4g' to each side of the equation. 3.9 + -4g = -2.5 + 4g + -4g Combine like terms: 4g + -4g = 0 3.9 + -4g = -2.5 + 0 3.9 + -4g = -2.5 Add '-3.9' to each side of the equation. 3.9 + -3.9 + -4g = -2.5 + -3.9 Combine like terms: 3.9 + -3.9 = 0.0 0.0 + -4g = -2.5 + -3.9 -4g = -2.5 + -3.9 Combine like terms: -2.5 + -3.9 = -6.4 -4g = -6.4 Divide each side by '-4'. g = 1.6 Simplifying g = 1.6
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