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Simplifying q + -1(2 + -1q) = -2(-2q + -4) q + (2 * -1 + -1q * -1) = -2(-2q + -4) q + (-2 + 1q) = -2(-2q + -4) Reorder the terms: -2 + q + 1q = -2(-2q + -4) Combine like terms: q + 1q = 2q -2 + 2q = -2(-2q + -4) Reorder the terms: -2 + 2q = -2(-4 + -2q) -2 + 2q = (-4 * -2 + -2q * -2) -2 + 2q = (8 + 4q) Solving -2 + 2q = 8 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. -2 + 2q + -4q = 8 + 4q + -4q Combine like terms: 2q + -4q = -2q -2 + -2q = 8 + 4q + -4q Combine like terms: 4q + -4q = 0 -2 + -2q = 8 + 0 -2 + -2q = 8 Add '2' to each side of the equation. -2 + 2 + -2q = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -2q = 8 + 2 -2q = 8 + 2 Combine like terms: 8 + 2 = 10 -2q = 10 Divide each side by '-2'. q = -5 Simplifying q = -5
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