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Simplifying 21 + 4q = q + 13 + 17 Reorder the terms: 21 + 4q = 13 + 17 + q Combine like terms: 13 + 17 = 30 21 + 4q = 30 + q Solving 21 + 4q = 30 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 21 + 4q + -1q = 30 + q + -1q Combine like terms: 4q + -1q = 3q 21 + 3q = 30 + q + -1q Combine like terms: q + -1q = 0 21 + 3q = 30 + 0 21 + 3q = 30 Add '-21' to each side of the equation. 21 + -21 + 3q = 30 + -21 Combine like terms: 21 + -21 = 0 0 + 3q = 30 + -21 3q = 30 + -21 Combine like terms: 30 + -21 = 9 3q = 9 Divide each side by '3'. q = 3 Simplifying q = 3
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