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Simplifying 4140 = 46(p + 15) Reorder the terms: 4140 = 46(15 + p) 4140 = (15 * 46 + p * 46) 4140 = (690 + 46p) Solving 4140 = 690 + 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. 4140 + -46p = 690 + 46p + -46p Combine like terms: 46p + -46p = 0 4140 + -46p = 690 + 0 4140 + -46p = 690 Add '-4140' to each side of the equation. 4140 + -4140 + -46p = 690 + -4140 Combine like terms: 4140 + -4140 = 0 0 + -46p = 690 + -4140 -46p = 690 + -4140 Combine like terms: 690 + -4140 = -3450 -46p = -3450 Divide each side by '-46'. p = 75 Simplifying p = 75
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