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Simplifying -13 + 7p + 7p = 1 + 5p + 7p Combine like terms: 7p + 7p = 14p -13 + 14p = 1 + 5p + 7p Combine like terms: 5p + 7p = 12p -13 + 14p = 1 + 12p Solving -13 + 14p = 1 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -13 + 14p + -12p = 1 + 12p + -12p Combine like terms: 14p + -12p = 2p -13 + 2p = 1 + 12p + -12p Combine like terms: 12p + -12p = 0 -13 + 2p = 1 + 0 -13 + 2p = 1 Add '13' to each side of the equation. -13 + 13 + 2p = 1 + 13 Combine like terms: -13 + 13 = 0 0 + 2p = 1 + 13 2p = 1 + 13 Combine like terms: 1 + 13 = 14 2p = 14 Divide each side by '2'. p = 7 Simplifying p = 7
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