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Simplifying q + 0(1 + -1q) = 0q + 2(1 + -1q) Anything times zero is zero. q + 0(1 + -1q) = 0q + 2(1 + -1q) Reorder the terms: 0 + q = 0q + 2(1 + -1q) Remove the zero: q = 0q + 2(1 + -1q) Anything times zero is zero. q = 0q + 2(1 + -1q) q = 0 + (1 * 2 + -1q * 2) q = 0 + (2 + -2q) Combine like terms: 0 + 2 = 2 q = 2 + -2q Solving q = 2 + -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. q + 2q = 2 + -2q + 2q Combine like terms: q + 2q = 3q 3q = 2 + -2q + 2q Combine like terms: -2q + 2q = 0 3q = 2 + 0 3q = 2 Divide each side by '3'. q = 0.6666666667 Simplifying q = 0.6666666667
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