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Simplifying 3(4 + p) = 8 + p (4 * 3 + p * 3) = 8 + p (12 + 3p) = 8 + p Solving 12 + 3p = 8 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 12 + 3p + -1p = 8 + p + -1p Combine like terms: 3p + -1p = 2p 12 + 2p = 8 + p + -1p Combine like terms: p + -1p = 0 12 + 2p = 8 + 0 12 + 2p = 8 Add '-12' to each side of the equation. 12 + -12 + 2p = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 2p = 8 + -12 2p = 8 + -12 Combine like terms: 8 + -12 = -4 2p = -4 Divide each side by '2'. p = -2 Simplifying p = -2
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