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Simplifying 520 = 10(q + 23) Reorder the terms: 520 = 10(23 + q) 520 = (23 * 10 + q * 10) 520 = (230 + 10q) Solving 520 = 230 + 10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10q' to each side of the equation. 520 + -10q = 230 + 10q + -10q Combine like terms: 10q + -10q = 0 520 + -10q = 230 + 0 520 + -10q = 230 Add '-520' to each side of the equation. 520 + -520 + -10q = 230 + -520 Combine like terms: 520 + -520 = 0 0 + -10q = 230 + -520 -10q = 230 + -520 Combine like terms: 230 + -520 = -290 -10q = -290 Divide each side by '-10'. q = 29 Simplifying q = 29
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