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Simplifying 7 + 4q = 3q + 11 Reorder the terms: 7 + 4q = 11 + 3q Solving 7 + 4q = 11 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 7 + 4q + -3q = 11 + 3q + -3q Combine like terms: 4q + -3q = 1q 7 + 1q = 11 + 3q + -3q Combine like terms: 3q + -3q = 0 7 + 1q = 11 + 0 7 + 1q = 11 Add '-7' to each side of the equation. 7 + -7 + 1q = 11 + -7 Combine like terms: 7 + -7 = 0 0 + 1q = 11 + -7 1q = 11 + -7 Combine like terms: 11 + -7 = 4 1q = 4 Divide each side by '1'. q = 4 Simplifying q = 4
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