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Simplifying 3p + 4(4 + 2p) = 12 + 7p 3p + (4 * 4 + 2p * 4) = 12 + 7p 3p + (16 + 8p) = 12 + 7p Reorder the terms: 16 + 3p + 8p = 12 + 7p Combine like terms: 3p + 8p = 11p 16 + 11p = 12 + 7p Solving 16 + 11p = 12 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 16 + 11p + -7p = 12 + 7p + -7p Combine like terms: 11p + -7p = 4p 16 + 4p = 12 + 7p + -7p Combine like terms: 7p + -7p = 0 16 + 4p = 12 + 0 16 + 4p = 12 Add '-16' to each side of the equation. 16 + -16 + 4p = 12 + -16 Combine like terms: 16 + -16 = 0 0 + 4p = 12 + -16 4p = 12 + -16 Combine like terms: 12 + -16 = -4 4p = -4 Divide each side by '4'. p = -1 Simplifying p = -1
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