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Simplifying 6p + 2 + -1p = 13 + 2p + 4 Reorder the terms: 2 + 6p + -1p = 13 + 2p + 4 Combine like terms: 6p + -1p = 5p 2 + 5p = 13 + 2p + 4 Reorder the terms: 2 + 5p = 13 + 4 + 2p Combine like terms: 13 + 4 = 17 2 + 5p = 17 + 2p Solving 2 + 5p = 17 + 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 + 5p + -2p = 17 + 2p + -2p Combine like terms: 5p + -2p = 3p 2 + 3p = 17 + 2p + -2p Combine like terms: 2p + -2p = 0 2 + 3p = 17 + 0 2 + 3p = 17 Add '-2' to each side of the equation. 2 + -2 + 3p = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 3p = 17 + -2 3p = 17 + -2 Combine like terms: 17 + -2 = 15 3p = 15 Divide each side by '3'. p = 5 Simplifying p = 5
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