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Simplifying 2q + 3 = 5 + -2q + 6 Reorder the terms: 3 + 2q = 5 + -2q + 6 Reorder the terms: 3 + 2q = 5 + 6 + -2q Combine like terms: 5 + 6 = 11 3 + 2q = 11 + -2q Solving 3 + 2q = 11 + -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. 3 + 2q + 2q = 11 + -2q + 2q Combine like terms: 2q + 2q = 4q 3 + 4q = 11 + -2q + 2q Combine like terms: -2q + 2q = 0 3 + 4q = 11 + 0 3 + 4q = 11 Add '-3' to each side of the equation. 3 + -3 + 4q = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 4q = 11 + -3 4q = 11 + -3 Combine like terms: 11 + -3 = 8 4q = 8 Divide each side by '4'. q = 2 Simplifying q = 2
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