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Simplifying 2.5(g + -4) + -1.5(g + 5) = 3.9 Reorder the terms: 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) = 3.9 Reorder the terms: -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) = 3.9 Reorder the terms: -10 + -7.5 + 2.5g + -1.5g = 3.9 Combine like terms: -10 + -7.5 = -17.5 -17.5 + 2.5g + -1.5g = 3.9 Combine like terms: 2.5g + -1.5g = 1g -17.5 + 1g = 3.9 Solving -17.5 + 1g = 3.9 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '17.5' to each side of the equation. -17.5 + 17.5 + 1g = 3.9 + 17.5 Combine like terms: -17.5 + 17.5 = 0.0 0.0 + 1g = 3.9 + 17.5 1g = 3.9 + 17.5 Combine like terms: 3.9 + 17.5 = 21.4 1g = 21.4 Divide each side by '1'. g = 21.4 Simplifying g = 21.4
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