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Simplifying 754 = 29(q + 18) Reorder the terms: 754 = 29(18 + q) 754 = (18 * 29 + q * 29) 754 = (522 + 29q) Solving 754 = 522 + 29q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-29q' to each side of the equation. 754 + -29q = 522 + 29q + -29q Combine like terms: 29q + -29q = 0 754 + -29q = 522 + 0 754 + -29q = 522 Add '-754' to each side of the equation. 754 + -754 + -29q = 522 + -754 Combine like terms: 754 + -754 = 0 0 + -29q = 522 + -754 -29q = 522 + -754 Combine like terms: 522 + -754 = -232 -29q = -232 Divide each side by '-29'. q = 8 Simplifying q = 8
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