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Simplifying 8q + 52 + 21q + 14 = 588 Reorder the terms: 52 + 14 + 8q + 21q = 588 Combine like terms: 52 + 14 = 66 66 + 8q + 21q = 588 Combine like terms: 8q + 21q = 29q 66 + 29q = 588 Solving 66 + 29q = 588 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 29q = 588 + -66 Combine like terms: 66 + -66 = 0 0 + 29q = 588 + -66 29q = 588 + -66 Combine like terms: 588 + -66 = 522 29q = 522 Divide each side by '29'. q = 18 Simplifying q = 18
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