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Simplifying q + -1(2 + -1x) = -2(-2q + -4) q + (2 * -1 + -1x * -1) = -2(-2q + -4) q + (-2 + 1x) = -2(-2q + -4) Reorder the terms: -2 + q + 1x = -2(-2q + -4) Reorder the terms: -2 + q + 1x = -2(-4 + -2q) -2 + q + 1x = (-4 * -2 + -2q * -2) -2 + q + 1x = (8 + 4q) Solving -2 + q + 1x = 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 + q + -4q + 1x = 8 + 4q + -4q Combine like terms: q + -4q = -3q -2 + -3q + 1x = 8 + 4q + -4q Combine like terms: 4q + -4q = 0 -2 + -3q + 1x = 8 + 0 -2 + -3q + 1x = 8 Add '2' to each side of the equation. -2 + -3q + 2 + 1x = 8 + 2 Reorder the terms: -2 + 2 + -3q + 1x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -3q + 1x = 8 + 2 -3q + 1x = 8 + 2 Combine like terms: 8 + 2 = 10 -3q + 1x = 10 Add '-1x' to each side of the equation. -3q + 1x + -1x = 10 + -1x Combine like terms: 1x + -1x = 0 -3q + 0 = 10 + -1x -3q = 10 + -1x Divide each side by '-3'. q = -3.333333333 + 0.3333333333x Simplifying q = -3.333333333 + 0.3333333333x
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