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Simplifying 15 + -30(g + 4) = 9(g + -25) Reorder the terms: 15 + -30(4 + g) = 9(g + -25) 15 + (4 * -30 + g * -30) = 9(g + -25) 15 + (-120 + -30g) = 9(g + -25) Combine like terms: 15 + -120 = -105 -105 + -30g = 9(g + -25) Reorder the terms: -105 + -30g = 9(-25 + g) -105 + -30g = (-25 * 9 + g * 9) -105 + -30g = (-225 + 9g) Solving -105 + -30g = -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. -105 + -30g + -9g = -225 + 9g + -9g Combine like terms: -30g + -9g = -39g -105 + -39g = -225 + 9g + -9g Combine like terms: 9g + -9g = 0 -105 + -39g = -225 + 0 -105 + -39g = -225 Add '105' to each side of the equation. -105 + 105 + -39g = -225 + 105 Combine like terms: -105 + 105 = 0 0 + -39g = -225 + 105 -39g = -225 + 105 Combine like terms: -225 + 105 = -120 -39g = -120 Divide each side by '-39'. g = 3.076923077 Simplifying g = 3.076923077
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