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Simplifying 8q + 6 = 3q + 21 Reorder the terms: 6 + 8q = 3q + 21 Reorder the terms: 6 + 8q = 21 + 3q Solving 6 + 8q = 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. 6 + 8q + -3q = 21 + 3q + -3q Combine like terms: 8q + -3q = 5q 6 + 5q = 21 + 3q + -3q Combine like terms: 3q + -3q = 0 6 + 5q = 21 + 0 6 + 5q = 21 Add '-6' to each side of the equation. 6 + -6 + 5q = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 5q = 21 + -6 5q = 21 + -6 Combine like terms: 21 + -6 = 15 5q = 15 Divide each side by '5'. q = 3 Simplifying q = 3
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