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Simplifying 15q + -3(4g + -6) = 3q + 9 + -9q Reorder the terms: 15q + -3(-6 + 4g) = 3q + 9 + -9q 15q + (-6 * -3 + 4g * -3) = 3q + 9 + -9q 15q + (18 + -12g) = 3q + 9 + -9q Reorder the terms: 18 + -12g + 15q = 3q + 9 + -9q Reorder the terms: 18 + -12g + 15q = 9 + 3q + -9q Combine like terms: 3q + -9q = -6q 18 + -12g + 15q = 9 + -6q Solving 18 + -12g + 15q = 9 + -6q Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -12g + -18 + 15q = 9 + -18 + -6q Reorder the terms: 18 + -18 + -12g + 15q = 9 + -18 + -6q Combine like terms: 18 + -18 = 0 0 + -12g + 15q = 9 + -18 + -6q -12g + 15q = 9 + -18 + -6q Combine like terms: 9 + -18 = -9 -12g + 15q = -9 + -6q Add '-15q' to each side of the equation. -12g + 15q + -15q = -9 + -6q + -15q Combine like terms: 15q + -15q = 0 -12g + 0 = -9 + -6q + -15q -12g = -9 + -6q + -15q Combine like terms: -6q + -15q = -21q -12g = -9 + -21q Divide each side by '-12'. g = 0.75 + 1.75q Simplifying g = 0.75 + 1.75q
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