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Simplifying 21 + 3q = 8q + 1 Reorder the terms: 21 + 3q = 1 + 8q Solving 21 + 3q = 1 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. 21 + 3q + -8q = 1 + 8q + -8q Combine like terms: 3q + -8q = -5q 21 + -5q = 1 + 8q + -8q Combine like terms: 8q + -8q = 0 21 + -5q = 1 + 0 21 + -5q = 1 Add '-21' to each side of the equation. 21 + -21 + -5q = 1 + -21 Combine like terms: 21 + -21 = 0 0 + -5q = 1 + -21 -5q = 1 + -21 Combine like terms: 1 + -21 = -20 -5q = -20 Divide each side by '-5'. q = 4 Simplifying q = 4
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