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Simplifying -5(-2 + q) + 7(6q + 7) = 0 (-2 * -5 + q * -5) + 7(6q + 7) = 0 (10 + -5q) + 7(6q + 7) = 0 Reorder the terms: 10 + -5q + 7(7 + 6q) = 0 10 + -5q + (7 * 7 + 6q * 7) = 0 10 + -5q + (49 + 42q) = 0 Reorder the terms: 10 + 49 + -5q + 42q = 0 Combine like terms: 10 + 49 = 59 59 + -5q + 42q = 0 Combine like terms: -5q + 42q = 37q 59 + 37q = 0 Solving 59 + 37q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -59 + 37q = 0 + -59 Combine like terms: 59 + -59 = 0 0 + 37q = 0 + -59 37q = 0 + -59 Combine like terms: 0 + -59 = -59 37q = -59 Divide each side by '37'. q = -1.594594595 Simplifying q = -1.594594595
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