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Simplifying 14 = 2(q + -9) Reorder the terms: 14 = 2(-9 + q) 14 = (-9 * 2 + q * 2) 14 = (-18 + 2q) Solving 14 = -18 + 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 = -18 + 2q + -2q Combine like terms: 2q + -2q = 0 14 + -2q = -18 + 0 14 + -2q = -18 Add '-14' to each side of the equation. 14 + -14 + -2q = -18 + -14 Combine like terms: 14 + -14 = 0 0 + -2q = -18 + -14 -2q = -18 + -14 Combine like terms: -18 + -14 = -32 -2q = -32 Divide each side by '-2'. q = 16 Simplifying q = 16
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