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Simplifying 15g + -3(4g + -6) = 3g + 9 + -9g Reorder the terms: 15g + -3(-6 + 4g) = 3g + 9 + -9g 15g + (-6 * -3 + 4g * -3) = 3g + 9 + -9g 15g + (18 + -12g) = 3g + 9 + -9g Reorder the terms: 18 + 15g + -12g = 3g + 9 + -9g Combine like terms: 15g + -12g = 3g 18 + 3g = 3g + 9 + -9g Reorder the terms: 18 + 3g = 9 + 3g + -9g Combine like terms: 3g + -9g = -6g 18 + 3g = 9 + -6g Solving 18 + 3g = 9 + -6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '6g' to each side of the equation. 18 + 3g + 6g = 9 + -6g + 6g Combine like terms: 3g + 6g = 9g 18 + 9g = 9 + -6g + 6g Combine like terms: -6g + 6g = 0 18 + 9g = 9 + 0 18 + 9g = 9 Add '-18' to each side of the equation. 18 + -18 + 9g = 9 + -18 Combine like terms: 18 + -18 = 0 0 + 9g = 9 + -18 9g = 9 + -18 Combine like terms: 9 + -18 = -9 9g = -9 Divide each side by '9'. g = -1 Simplifying g = -1
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