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Simplifying 6(6 + 10q) + -4(6q + -1) = 0 (6 * 6 + 10q * 6) + -4(6q + -1) = 0 (36 + 60q) + -4(6q + -1) = 0 Reorder the terms: 36 + 60q + -4(-1 + 6q) = 0 36 + 60q + (-1 * -4 + 6q * -4) = 0 36 + 60q + (4 + -24q) = 0 Reorder the terms: 36 + 4 + 60q + -24q = 0 Combine like terms: 36 + 4 = 40 40 + 60q + -24q = 0 Combine like terms: 60q + -24q = 36q 40 + 36q = 0 Solving 40 + 36q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 36q = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 36q = 0 + -40 36q = 0 + -40 Combine like terms: 0 + -40 = -40 36q = -40 Divide each side by '36'. q = -1.111111111 Simplifying q = -1.111111111
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