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Simplifying q + 15 = 8q + 1 Reorder the terms: 15 + q = 8q + 1 Reorder the terms: 15 + q = 1 + 8q Solving 15 + q = 1 + 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. 15 + q + -8q = 1 + 8q + -8q Combine like terms: q + -8q = -7q 15 + -7q = 1 + 8q + -8q Combine like terms: 8q + -8q = 0 15 + -7q = 1 + 0 15 + -7q = 1 Add '-15' to each side of the equation. 15 + -15 + -7q = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -7q = 1 + -15 -7q = 1 + -15 Combine like terms: 1 + -15 = -14 -7q = -14 Divide each side by '-7'. q = 2 Simplifying q = 2
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