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Simplifying 3q + -19 = 16 + -2q Reorder the terms: -19 + 3q = 16 + -2q Solving -19 + 3q = 16 + -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. -19 + 3q + 2q = 16 + -2q + 2q Combine like terms: 3q + 2q = 5q -19 + 5q = 16 + -2q + 2q Combine like terms: -2q + 2q = 0 -19 + 5q = 16 + 0 -19 + 5q = 16 Add '19' to each side of the equation. -19 + 19 + 5q = 16 + 19 Combine like terms: -19 + 19 = 0 0 + 5q = 16 + 19 5q = 16 + 19 Combine like terms: 16 + 19 = 35 5q = 35 Divide each side by '5'. q = 7 Simplifying q = 7
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