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Simplifying 8(2 + 3q) + 3q = 0 (2 * 8 + 3q * 8) + 3q = 0 (16 + 24q) + 3q = 0 Combine like terms: 24q + 3q = 27q 16 + 27q = 0 Solving 16 + 27q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 27q = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 27q = 0 + -16 27q = 0 + -16 Combine like terms: 0 + -16 = -16 27q = -16 Divide each side by '27'. q = -0.5925925926 Simplifying q = -0.5925925926
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