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Simplifying 20 = 8 + -3(2 + -3q) 20 = 8 + (2 * -3 + -3q * -3) 20 = 8 + (-6 + 9q) Combine like terms: 8 + -6 = 2 20 = 2 + 9q Solving 20 = 2 + 9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9q' to each side of the equation. 20 + -9q = 2 + 9q + -9q Combine like terms: 9q + -9q = 0 20 + -9q = 2 + 0 20 + -9q = 2 Add '-20' to each side of the equation. 20 + -20 + -9q = 2 + -20 Combine like terms: 20 + -20 = 0 0 + -9q = 2 + -20 -9q = 2 + -20 Combine like terms: 2 + -20 = -18 -9q = -18 Divide each side by '-9'. q = 2 Simplifying q = 2
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