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Simplifying 3588 = 46(p + 15) Reorder the terms: 3588 = 46(15 + p) 3588 = (15 * 46 + p * 46) 3588 = (690 + 46p) Solving 3588 = 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. 3588 + -46p = 690 + 46p + -46p Combine like terms: 46p + -46p = 0 3588 + -46p = 690 + 0 3588 + -46p = 690 Add '-3588' to each side of the equation. 3588 + -3588 + -46p = 690 + -3588 Combine like terms: 3588 + -3588 = 0 0 + -46p = 690 + -3588 -46p = 690 + -3588 Combine like terms: 690 + -3588 = -2898 -46p = -2898 Divide each side by '-46'. p = 63 Simplifying p = 63
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