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Simplifying 5(3q + 6) = 8 Reorder the terms: 5(6 + 3q) = 8 (6 * 5 + 3q * 5) = 8 (30 + 15q) = 8 Solving 30 + 15q = 8 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 15q = 8 + -30 Combine like terms: 30 + -30 = 0 0 + 15q = 8 + -30 15q = 8 + -30 Combine like terms: 8 + -30 = -22 15q = -22 Divide each side by '15'. q = -1.466666667 Simplifying q = -1.466666667
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