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Simplifying 15g + -30(g + 4) = 9(g + -25) Reorder the terms: 15g + -30(4 + g) = 9(g + -25) 15g + (4 * -30 + g * -30) = 9(g + -25) 15g + (-120 + -30g) = 9(g + -25) Reorder the terms: -120 + 15g + -30g = 9(g + -25) Combine like terms: 15g + -30g = -15g -120 + -15g = 9(g + -25) Reorder the terms: -120 + -15g = 9(-25 + g) -120 + -15g = (-25 * 9 + g * 9) -120 + -15g = (-225 + 9g) Solving -120 + -15g = -225 + 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. -120 + -15g + -9g = -225 + 9g + -9g Combine like terms: -15g + -9g = -24g -120 + -24g = -225 + 9g + -9g Combine like terms: 9g + -9g = 0 -120 + -24g = -225 + 0 -120 + -24g = -225 Add '120' to each side of the equation. -120 + 120 + -24g = -225 + 120 Combine like terms: -120 + 120 = 0 0 + -24g = -225 + 120 -24g = -225 + 120 Combine like terms: -225 + 120 = -105 -24g = -105 Divide each side by '-24'. g = 4.375 Simplifying g = 4.375
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