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Simplifying 5q + 7 = 3q + 21 Reorder the terms: 7 + 5q = 3q + 21 Reorder the terms: 7 + 5q = 21 + 3q Solving 7 + 5q = 21 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 7 + 5q + -3q = 21 + 3q + -3q Combine like terms: 5q + -3q = 2q 7 + 2q = 21 + 3q + -3q Combine like terms: 3q + -3q = 0 7 + 2q = 21 + 0 7 + 2q = 21 Add '-7' to each side of the equation. 7 + -7 + 2q = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 2q = 21 + -7 2q = 21 + -7 Combine like terms: 21 + -7 = 14 2q = 14 Divide each side by '2'. q = 7 Simplifying q = 7
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