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Simplifying 3 + -1q = 2q + 11 Reorder the terms: 3 + -1q = 11 + 2q Solving 3 + -1q = 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 + -1q + -2q = 11 + 2q + -2q Combine like terms: -1q + -2q = -3q 3 + -3q = 11 + 2q + -2q Combine like terms: 2q + -2q = 0 3 + -3q = 11 + 0 3 + -3q = 11 Add '-3' to each side of the equation. 3 + -3 + -3q = 11 + -3 Combine like terms: 3 + -3 = 0 0 + -3q = 11 + -3 -3q = 11 + -3 Combine like terms: 11 + -3 = 8 -3q = 8 Divide each side by '-3'. q = -2.666666667 Simplifying q = -2.666666667
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