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Simplifying 5q + -7 = 2 + -2q Reorder the terms: -7 + 5q = 2 + -2q Solving -7 + 5q = 2 + -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. -7 + 5q + 2q = 2 + -2q + 2q Combine like terms: 5q + 2q = 7q -7 + 7q = 2 + -2q + 2q Combine like terms: -2q + 2q = 0 -7 + 7q = 2 + 0 -7 + 7q = 2 Add '7' to each side of the equation. -7 + 7 + 7q = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 7q = 2 + 7 7q = 2 + 7 Combine like terms: 2 + 7 = 9 7q = 9 Divide each side by '7'. q = 1.285714286 Simplifying q = 1.285714286
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