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Simplifying 2q + -7 = 21 + -5q Reorder the terms: -7 + 2q = 21 + -5q Solving -7 + 2q = 21 + -5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5q' to each side of the equation. -7 + 2q + 5q = 21 + -5q + 5q Combine like terms: 2q + 5q = 7q -7 + 7q = 21 + -5q + 5q Combine like terms: -5q + 5q = 0 -7 + 7q = 21 + 0 -7 + 7q = 21 Add '7' to each side of the equation. -7 + 7 + 7q = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 7q = 21 + 7 7q = 21 + 7 Combine like terms: 21 + 7 = 28 7q = 28 Divide each side by '7'. q = 4 Simplifying q = 4
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