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Simplifying 3542 = 46(p + 30) Reorder the terms: 3542 = 46(30 + p) 3542 = (30 * 46 + p * 46) 3542 = (1380 + 46p) Solving 3542 = 1380 + 46p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-46p' to each side of the equation. 3542 + -46p = 1380 + 46p + -46p Combine like terms: 46p + -46p = 0 3542 + -46p = 1380 + 0 3542 + -46p = 1380 Add '-3542' to each side of the equation. 3542 + -3542 + -46p = 1380 + -3542 Combine like terms: 3542 + -3542 = 0 0 + -46p = 1380 + -3542 -46p = 1380 + -3542 Combine like terms: 1380 + -3542 = -2162 -46p = -2162 Divide each side by '-46'. p = 47 Simplifying p = 47
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