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Simplifying 1 + p = 11 + -2p + 6 + -1 Reorder the terms: 1 + p = 11 + 6 + -1 + -2p Combine like terms: 11 + 6 = 17 1 + p = 17 + -1 + -2p Combine like terms: 17 + -1 = 16 1 + p = 16 + -2p Solving 1 + p = 16 + -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. 1 + p + 2p = 16 + -2p + 2p Combine like terms: p + 2p = 3p 1 + 3p = 16 + -2p + 2p Combine like terms: -2p + 2p = 0 1 + 3p = 16 + 0 1 + 3p = 16 Add '-1' to each side of the equation. 1 + -1 + 3p = 16 + -1 Combine like terms: 1 + -1 = 0 0 + 3p = 16 + -1 3p = 16 + -1 Combine like terms: 16 + -1 = 15 3p = 15 Divide each side by '3'. p = 5 Simplifying p = 5
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