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Simplifying 46 = 4(1 + 4p) + -2p 46 = (1 * 4 + 4p * 4) + -2p 46 = (4 + 16p) + -2p Combine like terms: 16p + -2p = 14p 46 = 4 + 14p Solving 46 = 4 + 14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14p' to each side of the equation. 46 + -14p = 4 + 14p + -14p Combine like terms: 14p + -14p = 0 46 + -14p = 4 + 0 46 + -14p = 4 Add '-46' to each side of the equation. 46 + -46 + -14p = 4 + -46 Combine like terms: 46 + -46 = 0 0 + -14p = 4 + -46 -14p = 4 + -46 Combine like terms: 4 + -46 = -42 -14p = -42 Divide each side by '-14'. p = 3 Simplifying p = 3
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