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Simplifying 2(2q + 2) = -2(q + 4) Reorder the terms: 2(2 + 2q) = -2(q + 4) (2 * 2 + 2q * 2) = -2(q + 4) (4 + 4q) = -2(q + 4) Reorder the terms: 4 + 4q = -2(4 + q) 4 + 4q = (4 * -2 + q * -2) 4 + 4q = (-8 + -2q) Solving 4 + 4q = -8 + -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. 4 + 4q + 2q = -8 + -2q + 2q Combine like terms: 4q + 2q = 6q 4 + 6q = -8 + -2q + 2q Combine like terms: -2q + 2q = 0 4 + 6q = -8 + 0 4 + 6q = -8 Add '-4' to each side of the equation. 4 + -4 + 6q = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 6q = -8 + -4 6q = -8 + -4 Combine like terms: -8 + -4 = -12 6q = -12 Divide each side by '6'. q = -2 Simplifying q = -2
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