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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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