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Simplifying -1p + 2p + 7 + 11 = 5p + -1p + 8 Reorder the terms: 7 + 11 + -1p + 2p = 5p + -1p + 8 Combine like terms: 7 + 11 = 18 18 + -1p + 2p = 5p + -1p + 8 Combine like terms: -1p + 2p = 1p 18 + 1p = 5p + -1p + 8 Reorder the terms: 18 + 1p = 8 + 5p + -1p Combine like terms: 5p + -1p = 4p 18 + 1p = 8 + 4p Solving 18 + 1p = 8 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 18 + 1p + -4p = 8 + 4p + -4p Combine like terms: 1p + -4p = -3p 18 + -3p = 8 + 4p + -4p Combine like terms: 4p + -4p = 0 18 + -3p = 8 + 0 18 + -3p = 8 Add '-18' to each side of the equation. 18 + -18 + -3p = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -3p = 8 + -18 -3p = 8 + -18 Combine like terms: 8 + -18 = -10 -3p = -10 Divide each side by '-3'. p = 3.333333333 Simplifying p = 3.333333333
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