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Simplifying 2(8q + -1) + 3(5q + 6) = 0 Reorder the terms: 2(-1 + 8q) + 3(5q + 6) = 0 (-1 * 2 + 8q * 2) + 3(5q + 6) = 0 (-2 + 16q) + 3(5q + 6) = 0 Reorder the terms: -2 + 16q + 3(6 + 5q) = 0 -2 + 16q + (6 * 3 + 5q * 3) = 0 -2 + 16q + (18 + 15q) = 0 Reorder the terms: -2 + 18 + 16q + 15q = 0 Combine like terms: -2 + 18 = 16 16 + 16q + 15q = 0 Combine like terms: 16q + 15q = 31q 16 + 31q = 0 Solving 16 + 31q = 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 + 31q = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 31q = 0 + -16 31q = 0 + -16 Combine like terms: 0 + -16 = -16 31q = -16 Divide each side by '31'. q = -0.5161290323 Simplifying q = -0.5161290323
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