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Simplifying -14 = -2(q + 6) Reorder the terms: -14 = -2(6 + q) -14 = (6 * -2 + q * -2) -14 = (-12 + -2q) Solving -14 = -12 + -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. -14 + 2q = -12 + -2q + 2q Combine like terms: -2q + 2q = 0 -14 + 2q = -12 + 0 -14 + 2q = -12 Add '14' to each side of the equation. -14 + 14 + 2q = -12 + 14 Combine like terms: -14 + 14 = 0 0 + 2q = -12 + 14 2q = -12 + 14 Combine like terms: -12 + 14 = 2 2q = 2 Divide each side by '2'. q = 1 Simplifying q = 1
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