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Simplifying 12 = -2(q + 5) Reorder the terms: 12 = -2(5 + q) 12 = (5 * -2 + q * -2) 12 = (-10 + -2q) Solving 12 = -10 + -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. 12 + 2q = -10 + -2q + 2q Combine like terms: -2q + 2q = 0 12 + 2q = -10 + 0 12 + 2q = -10 Add '-12' to each side of the equation. 12 + -12 + 2q = -10 + -12 Combine like terms: 12 + -12 = 0 0 + 2q = -10 + -12 2q = -10 + -12 Combine like terms: -10 + -12 = -22 2q = -22 Divide each side by '2'. q = -11 Simplifying q = -11
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