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Simplifying 5(2g + -5) = 2(15 + 4g) Reorder the terms: 5(-5 + 2g) = 2(15 + 4g) (-5 * 5 + 2g * 5) = 2(15 + 4g) (-25 + 10g) = 2(15 + 4g) -25 + 10g = (15 * 2 + 4g * 2) -25 + 10g = (30 + 8g) Solving -25 + 10g = 30 + 8g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8g' to each side of the equation. -25 + 10g + -8g = 30 + 8g + -8g Combine like terms: 10g + -8g = 2g -25 + 2g = 30 + 8g + -8g Combine like terms: 8g + -8g = 0 -25 + 2g = 30 + 0 -25 + 2g = 30 Add '25' to each side of the equation. -25 + 25 + 2g = 30 + 25 Combine like terms: -25 + 25 = 0 0 + 2g = 30 + 25 2g = 30 + 25 Combine like terms: 30 + 25 = 55 2g = 55 Divide each side by '2'. g = 27.5 Simplifying g = 27.5
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