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Simplifying 5 = 8 + -3(3q + 1) Reorder the terms: 5 = 8 + -3(1 + 3q) 5 = 8 + (1 * -3 + 3q * -3) 5 = 8 + (-3 + -9q) Combine like terms: 8 + -3 = 5 5 = 5 + -9q Add '-5' to each side of the equation. 5 + -5 = 5 + -5 + -9q Combine like terms: 5 + -5 = 0 0 = 5 + -5 + -9q Combine like terms: 5 + -5 = 0 0 = 0 + -9q 0 = -9q Solving 0 = -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. 0 + 9q = -9q + 9q Remove the zero: 9q = -9q + 9q Combine like terms: -9q + 9q = 0 9q = 0 Divide each side by '9'. q = 0 Simplifying q = 0
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