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Simplifying 8(4 + p) + 2p = 38 + 4p (4 * 8 + p * 8) + 2p = 38 + 4p (32 + 8p) + 2p = 38 + 4p Combine like terms: 8p + 2p = 10p 32 + 10p = 38 + 4p Solving 32 + 10p = 38 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 32 + 10p + -4p = 38 + 4p + -4p Combine like terms: 10p + -4p = 6p 32 + 6p = 38 + 4p + -4p Combine like terms: 4p + -4p = 0 32 + 6p = 38 + 0 32 + 6p = 38 Add '-32' to each side of the equation. 32 + -32 + 6p = 38 + -32 Combine like terms: 32 + -32 = 0 0 + 6p = 38 + -32 6p = 38 + -32 Combine like terms: 38 + -32 = 6 6p = 6 Divide each side by '6'. p = 1 Simplifying p = 1
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