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Simplifying 4738 = 46(p + 15) Reorder the terms: 4738 = 46(15 + p) 4738 = (15 * 46 + p * 46) 4738 = (690 + 46p) Solving 4738 = 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. 4738 + -46p = 690 + 46p + -46p Combine like terms: 46p + -46p = 0 4738 + -46p = 690 + 0 4738 + -46p = 690 Add '-4738' to each side of the equation. 4738 + -4738 + -46p = 690 + -4738 Combine like terms: 4738 + -4738 = 0 0 + -46p = 690 + -4738 -46p = 690 + -4738 Combine like terms: 690 + -4738 = -4048 -46p = -4048 Divide each side by '-46'. p = 88 Simplifying p = 88
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