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Simplifying 5q + -1 = 3q + 17 Reorder the terms: -1 + 5q = 3q + 17 Reorder the terms: -1 + 5q = 17 + 3q Solving -1 + 5q = 17 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -1 + 5q + -3q = 17 + 3q + -3q Combine like terms: 5q + -3q = 2q -1 + 2q = 17 + 3q + -3q Combine like terms: 3q + -3q = 0 -1 + 2q = 17 + 0 -1 + 2q = 17 Add '1' to each side of the equation. -1 + 1 + 2q = 17 + 1 Combine like terms: -1 + 1 = 0 0 + 2q = 17 + 1 2q = 17 + 1 Combine like terms: 17 + 1 = 18 2q = 18 Divide each side by '2'. q = 9 Simplifying q = 9
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