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Simplifying 8 + 5q = 20 + -7q Solving 8 + 5q = 20 + -7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '7q' to each side of the equation. 8 + 5q + 7q = 20 + -7q + 7q Combine like terms: 5q + 7q = 12q 8 + 12q = 20 + -7q + 7q Combine like terms: -7q + 7q = 0 8 + 12q = 20 + 0 8 + 12q = 20 Add '-8' to each side of the equation. 8 + -8 + 12q = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 12q = 20 + -8 12q = 20 + -8 Combine like terms: 20 + -8 = 12 12q = 12 Divide each side by '12'. q = 1 Simplifying q = 1
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