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Simplifying 14 = 2(q + 2) + -6 Reorder the terms: 14 = 2(2 + q) + -6 14 = (2 * 2 + q * 2) + -6 14 = (4 + 2q) + -6 Reorder the terms: 14 = 4 + -6 + 2q Combine like terms: 4 + -6 = -2 14 = -2 + 2q Solving 14 = -2 + 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 = -2 + 2q + -2q Combine like terms: 2q + -2q = 0 14 + -2q = -2 + 0 14 + -2q = -2 Add '-14' to each side of the equation. 14 + -14 + -2q = -2 + -14 Combine like terms: 14 + -14 = 0 0 + -2q = -2 + -14 -2q = -2 + -14 Combine like terms: -2 + -14 = -16 -2q = -16 Divide each side by '-2'. q = 8 Simplifying q = 8
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