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Simplifying 6 = 2(p + 1) Reorder the terms: 6 = 2(1 + p) 6 = (1 * 2 + p * 2) 6 = (2 + 2p) Solving 6 = 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. 6 + -2p = 2 + 2p + -2p Combine like terms: 2p + -2p = 0 6 + -2p = 2 + 0 6 + -2p = 2 Add '-6' to each side of the equation. 6 + -6 + -2p = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -2p = 2 + -6 -2p = 2 + -6 Combine like terms: 2 + -6 = -4 -2p = -4 Divide each side by '-2'. p = 2 Simplifying p = 2
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