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Simplifying 6 = 2(q + 13) Reorder the terms: 6 = 2(13 + q) 6 = (13 * 2 + q * 2) 6 = (26 + 2q) Solving 6 = 26 + 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. 6 + -2q = 26 + 2q + -2q Combine like terms: 2q + -2q = 0 6 + -2q = 26 + 0 6 + -2q = 26 Add '-6' to each side of the equation. 6 + -6 + -2q = 26 + -6 Combine like terms: 6 + -6 = 0 0 + -2q = 26 + -6 -2q = 26 + -6 Combine like terms: 26 + -6 = 20 -2q = 20 Divide each side by '-2'. q = -10 Simplifying q = -10
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