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Simplifying 2q + 17 = 19q + -51 Reorder the terms: 17 + 2q = 19q + -51 Reorder the terms: 17 + 2q = -51 + 19q Solving 17 + 2q = -51 + 19q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-19q' to each side of the equation. 17 + 2q + -19q = -51 + 19q + -19q Combine like terms: 2q + -19q = -17q 17 + -17q = -51 + 19q + -19q Combine like terms: 19q + -19q = 0 17 + -17q = -51 + 0 17 + -17q = -51 Add '-17' to each side of the equation. 17 + -17 + -17q = -51 + -17 Combine like terms: 17 + -17 = 0 0 + -17q = -51 + -17 -17q = -51 + -17 Combine like terms: -51 + -17 = -68 -17q = -68 Divide each side by '-17'. q = 4 Simplifying q = 4
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