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Simplifying 3 + 4(p + 2) = 2p + 4(p + 4) Reorder the terms: 3 + 4(2 + p) = 2p + 4(p + 4) 3 + (2 * 4 + p * 4) = 2p + 4(p + 4) 3 + (8 + 4p) = 2p + 4(p + 4) Combine like terms: 3 + 8 = 11 11 + 4p = 2p + 4(p + 4) Reorder the terms: 11 + 4p = 2p + 4(4 + p) 11 + 4p = 2p + (4 * 4 + p * 4) 11 + 4p = 2p + (16 + 4p) Reorder the terms: 11 + 4p = 16 + 2p + 4p Combine like terms: 2p + 4p = 6p 11 + 4p = 16 + 6p Solving 11 + 4p = 16 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 11 + 4p + -6p = 16 + 6p + -6p Combine like terms: 4p + -6p = -2p 11 + -2p = 16 + 6p + -6p Combine like terms: 6p + -6p = 0 11 + -2p = 16 + 0 11 + -2p = 16 Add '-11' to each side of the equation. 11 + -11 + -2p = 16 + -11 Combine like terms: 11 + -11 = 0 0 + -2p = 16 + -11 -2p = 16 + -11 Combine like terms: 16 + -11 = 5 -2p = 5 Divide each side by '-2'. p = -2.5 Simplifying p = -2.5
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