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Simplifying 8(q + 5) + 4(7q + -6) = 0 Reorder the terms: 8(5 + q) + 4(7q + -6) = 0 (5 * 8 + q * 8) + 4(7q + -6) = 0 (40 + 8q) + 4(7q + -6) = 0 Reorder the terms: 40 + 8q + 4(-6 + 7q) = 0 40 + 8q + (-6 * 4 + 7q * 4) = 0 40 + 8q + (-24 + 28q) = 0 Reorder the terms: 40 + -24 + 8q + 28q = 0 Combine like terms: 40 + -24 = 16 16 + 8q + 28q = 0 Combine like terms: 8q + 28q = 36q 16 + 36q = 0 Solving 16 + 36q = 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 + 36q = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 36q = 0 + -16 36q = 0 + -16 Combine like terms: 0 + -16 = -16 36q = -16 Divide each side by '36'. q = -0.4444444444 Simplifying q = -0.4444444444
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