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Simplifying q + 14 = (8q + 7) Reorder the terms: 14 + q = (8q + 7) Reorder the terms: 14 + q = (7 + 8q) Remove parenthesis around (7 + 8q) 14 + q = 7 + 8q Solving 14 + q = 7 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. 14 + q + -8q = 7 + 8q + -8q Combine like terms: q + -8q = -7q 14 + -7q = 7 + 8q + -8q Combine like terms: 8q + -8q = 0 14 + -7q = 7 + 0 14 + -7q = 7 Add '-14' to each side of the equation. 14 + -14 + -7q = 7 + -14 Combine like terms: 14 + -14 = 0 0 + -7q = 7 + -14 -7q = 7 + -14 Combine like terms: 7 + -14 = -7 -7q = -7 Divide each side by '-7'. q = 1 Simplifying q = 1
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