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Simplifying 11 = 7 + -1(1 + -1q) 11 = 7 + (1 * -1 + -1q * -1) 11 = 7 + (-1 + 1q) Combine like terms: 7 + -1 = 6 11 = 6 + 1q Solving 11 = 6 + 1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 11 + -1q = 6 + 1q + -1q Combine like terms: 1q + -1q = 0 11 + -1q = 6 + 0 11 + -1q = 6 Add '-11' to each side of the equation. 11 + -11 + -1q = 6 + -11 Combine like terms: 11 + -11 = 0 0 + -1q = 6 + -11 -1q = 6 + -11 Combine like terms: 6 + -11 = -5 -1q = -5 Divide each side by '-1'. q = 5 Simplifying q = 5
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