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Simplifying 6q + 5 = 2q + 17 Reorder the terms: 5 + 6q = 2q + 17 Reorder the terms: 5 + 6q = 17 + 2q Solving 5 + 6q = 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. 5 + 6q + -2q = 17 + 2q + -2q Combine like terms: 6q + -2q = 4q 5 + 4q = 17 + 2q + -2q Combine like terms: 2q + -2q = 0 5 + 4q = 17 + 0 5 + 4q = 17 Add '-5' to each side of the equation. 5 + -5 + 4q = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 4q = 17 + -5 4q = 17 + -5 Combine like terms: 17 + -5 = 12 4q = 12 Divide each side by '4'. q = 3 Simplifying q = 3
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