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Simplifying 7 + -4q = 17 + -5q Solving 7 + -4q = 17 + -5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5q' to each side of the equation. 7 + -4q + 5q = 17 + -5q + 5q Combine like terms: -4q + 5q = 1q 7 + 1q = 17 + -5q + 5q Combine like terms: -5q + 5q = 0 7 + 1q = 17 + 0 7 + 1q = 17 Add '-7' to each side of the equation. 7 + -7 + 1q = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 1q = 17 + -7 1q = 17 + -7 Combine like terms: 17 + -7 = 10 1q = 10 Divide each side by '1'. q = 10 Simplifying q = 10
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