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Simplifying 8(5 + -6q) + 3(-2q + -2) = 0 (5 * 8 + -6q * 8) + 3(-2q + -2) = 0 (40 + -48q) + 3(-2q + -2) = 0 Reorder the terms: 40 + -48q + 3(-2 + -2q) = 0 40 + -48q + (-2 * 3 + -2q * 3) = 0 40 + -48q + (-6 + -6q) = 0 Reorder the terms: 40 + -6 + -48q + -6q = 0 Combine like terms: 40 + -6 = 34 34 + -48q + -6q = 0 Combine like terms: -48q + -6q = -54q 34 + -54q = 0 Solving 34 + -54q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -54q = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -54q = 0 + -34 -54q = 0 + -34 Combine like terms: 0 + -34 = -34 -54q = -34 Divide each side by '-54'. q = 0.6296296296 Simplifying q = 0.6296296296
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