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Simplifying 2(8 + p) = 22 + 4p (8 * 2 + p * 2) = 22 + 4p (16 + 2p) = 22 + 4p Solving 16 + 2p = 22 + 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. 16 + 2p + -4p = 22 + 4p + -4p Combine like terms: 2p + -4p = -2p 16 + -2p = 22 + 4p + -4p Combine like terms: 4p + -4p = 0 16 + -2p = 22 + 0 16 + -2p = 22 Add '-16' to each side of the equation. 16 + -16 + -2p = 22 + -16 Combine like terms: 16 + -16 = 0 0 + -2p = 22 + -16 -2p = 22 + -16 Combine like terms: 22 + -16 = 6 -2p = 6 Divide each side by '-2'. p = -3 Simplifying p = -3
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