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Simplifying 3q + 11 = 3 + 4q Reorder the terms: 11 + 3q = 3 + 4q Solving 11 + 3q = 3 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 11 + 3q + -4q = 3 + 4q + -4q Combine like terms: 3q + -4q = -1q 11 + -1q = 3 + 4q + -4q Combine like terms: 4q + -4q = 0 11 + -1q = 3 + 0 11 + -1q = 3 Add '-11' to each side of the equation. 11 + -11 + -1q = 3 + -11 Combine like terms: 11 + -11 = 0 0 + -1q = 3 + -11 -1q = 3 + -11 Combine like terms: 3 + -11 = -8 -1q = -8 Divide each side by '-1'. q = 8 Simplifying q = 8
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