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Simplifying 4g + 5(7g + -3) = 9(g + -5) Reorder the terms: 4g + 5(-3 + 7g) = 9(g + -5) 4g + (-3 * 5 + 7g * 5) = 9(g + -5) 4g + (-15 + 35g) = 9(g + -5) Reorder the terms: -15 + 4g + 35g = 9(g + -5) Combine like terms: 4g + 35g = 39g -15 + 39g = 9(g + -5) Reorder the terms: -15 + 39g = 9(-5 + g) -15 + 39g = (-5 * 9 + g * 9) -15 + 39g = (-45 + 9g) Solving -15 + 39g = -45 + 9g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9g' to each side of the equation. -15 + 39g + -9g = -45 + 9g + -9g Combine like terms: 39g + -9g = 30g -15 + 30g = -45 + 9g + -9g Combine like terms: 9g + -9g = 0 -15 + 30g = -45 + 0 -15 + 30g = -45 Add '15' to each side of the equation. -15 + 15 + 30g = -45 + 15 Combine like terms: -15 + 15 = 0 0 + 30g = -45 + 15 30g = -45 + 15 Combine like terms: -45 + 15 = -30 30g = -30 Divide each side by '30'. g = -1 Simplifying g = -1
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