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Simplifying 1q + 1(1 + -1q) = -1q + 1(1 + -1q) 1q + (1 * 1 + -1q * 1) = -1q + 1(1 + -1q) 1q + (1 + -1q) = -1q + 1(1 + -1q) Reorder the terms: 1 + 1q + -1q = -1q + 1(1 + -1q) Combine like terms: 1q + -1q = 0 1 + 0 = -1q + 1(1 + -1q) 1 = -1q + 1(1 + -1q) 1 = -1q + (1 * 1 + -1q * 1) 1 = -1q + (1 + -1q) Reorder the terms: 1 = 1 + -1q + -1q Combine like terms: -1q + -1q = -2q 1 = 1 + -2q Add '-1' to each side of the equation. 1 + -1 = 1 + -1 + -2q Combine like terms: 1 + -1 = 0 0 = 1 + -1 + -2q Combine like terms: 1 + -1 = 0 0 = 0 + -2q 0 = -2q Solving 0 = -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. 0 + 2q = -2q + 2q Remove the zero: 2q = -2q + 2q Combine like terms: -2q + 2q = 0 2q = 0 Divide each side by '2'. q = 0 Simplifying q = 0
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