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