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Simplifying 10 = 2(p + 1) Reorder the terms: 10 = 2(1 + p) 10 = (1 * 2 + p * 2) 10 = (2 + 2p) Solving 10 = 2 + 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. 10 + -2p = 2 + 2p + -2p Combine like terms: 2p + -2p = 0 10 + -2p = 2 + 0 10 + -2p = 2 Add '-10' to each side of the equation. 10 + -10 + -2p = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -2p = 2 + -10 -2p = 2 + -10 Combine like terms: 2 + -10 = -8 -2p = -8 Divide each side by '-2'. p = 4 Simplifying p = 4
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