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Simplifying 11 + 4q = 2(q + 4) Reorder the terms: 11 + 4q = 2(4 + q) 11 + 4q = (4 * 2 + q * 2) 11 + 4q = (8 + 2q) Solving 11 + 4q = 8 + 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. 11 + 4q + -2q = 8 + 2q + -2q Combine like terms: 4q + -2q = 2q 11 + 2q = 8 + 2q + -2q Combine like terms: 2q + -2q = 0 11 + 2q = 8 + 0 11 + 2q = 8 Add '-11' to each side of the equation. 11 + -11 + 2q = 8 + -11 Combine like terms: 11 + -11 = 0 0 + 2q = 8 + -11 2q = 8 + -11 Combine like terms: 8 + -11 = -3 2q = -3 Divide each side by '2'. q = -1.5 Simplifying q = -1.5
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