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Simplifying 5q + 7 + -3q = q + 17 + -3q Reorder the terms: 7 + 5q + -3q = q + 17 + -3q Combine like terms: 5q + -3q = 2q 7 + 2q = q + 17 + -3q Reorder the terms: 7 + 2q = 17 + q + -3q Combine like terms: q + -3q = -2q 7 + 2q = 17 + -2q Solving 7 + 2q = 17 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. 7 + 2q + 2q = 17 + -2q + 2q Combine like terms: 2q + 2q = 4q 7 + 4q = 17 + -2q + 2q Combine like terms: -2q + 2q = 0 7 + 4q = 17 + 0 7 + 4q = 17 Add '-7' to each side of the equation. 7 + -7 + 4q = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 4q = 17 + -7 4q = 17 + -7 Combine like terms: 17 + -7 = 10 4q = 10 Divide each side by '4'. q = 2.5 Simplifying q = 2.5
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