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Simplifying 3q + 26 = 2q + 32 Reorder the terms: 26 + 3q = 2q + 32 Reorder the terms: 26 + 3q = 32 + 2q Solving 26 + 3q = 32 + 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. 26 + 3q + -2q = 32 + 2q + -2q Combine like terms: 3q + -2q = 1q 26 + 1q = 32 + 2q + -2q Combine like terms: 2q + -2q = 0 26 + 1q = 32 + 0 26 + 1q = 32 Add '-26' to each side of the equation. 26 + -26 + 1q = 32 + -26 Combine like terms: 26 + -26 = 0 0 + 1q = 32 + -26 1q = 32 + -26 Combine like terms: 32 + -26 = 6 1q = 6 Divide each side by '1'. q = 6 Simplifying q = 6
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