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