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Simplifying 5q + 5 = 12 + -2q Reorder the terms: 5 + 5q = 12 + -2q Solving 5 + 5q = 12 + -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. 5 + 5q + 2q = 12 + -2q + 2q Combine like terms: 5q + 2q = 7q 5 + 7q = 12 + -2q + 2q Combine like terms: -2q + 2q = 0 5 + 7q = 12 + 0 5 + 7q = 12 Add '-5' to each side of the equation. 5 + -5 + 7q = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 7q = 12 + -5 7q = 12 + -5 Combine like terms: 12 + -5 = 7 7q = 7 Divide each side by '7'. q = 1 Simplifying q = 1
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