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Simplifying 15q + -3(4g + -6) = 3q + 9 + -9g Reorder the terms: 15q + -3(-6 + 4g) = 3q + 9 + -9g 15q + (-6 * -3 + 4g * -3) = 3q + 9 + -9g 15q + (18 + -12g) = 3q + 9 + -9g Reorder the terms: 18 + -12g + 15q = 3q + 9 + -9g Reorder the terms: 18 + -12g + 15q = 9 + -9g + 3q Solving 18 + -12g + 15q = 9 + -9g + 3q 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. 18 + -12g + 9g + 15q = 9 + -9g + 9g + 3q Combine like terms: -12g + 9g = -3g 18 + -3g + 15q = 9 + -9g + 9g + 3q Combine like terms: -9g + 9g = 0 18 + -3g + 15q = 9 + 0 + 3q 18 + -3g + 15q = 9 + 3q Add '-18' to each side of the equation. 18 + -3g + -18 + 15q = 9 + -18 + 3q Reorder the terms: 18 + -18 + -3g + 15q = 9 + -18 + 3q Combine like terms: 18 + -18 = 0 0 + -3g + 15q = 9 + -18 + 3q -3g + 15q = 9 + -18 + 3q Combine like terms: 9 + -18 = -9 -3g + 15q = -9 + 3q Add '-15q' to each side of the equation. -3g + 15q + -15q = -9 + 3q + -15q Combine like terms: 15q + -15q = 0 -3g + 0 = -9 + 3q + -15q -3g = -9 + 3q + -15q Combine like terms: 3q + -15q = -12q -3g = -9 + -12q Divide each side by '-3'. g = 3 + 4q Simplifying g = 3 + 4q
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