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Simplifying 10 + -4p + 1 + p = 5p + 14 + -7p + 2 Reorder the terms: 10 + 1 + -4p + p = 5p + 14 + -7p + 2 Combine like terms: 10 + 1 = 11 11 + -4p + p = 5p + 14 + -7p + 2 Combine like terms: -4p + p = -3p 11 + -3p = 5p + 14 + -7p + 2 Reorder the terms: 11 + -3p = 14 + 2 + 5p + -7p Combine like terms: 14 + 2 = 16 11 + -3p = 16 + 5p + -7p Combine like terms: 5p + -7p = -2p 11 + -3p = 16 + -2p Solving 11 + -3p = 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. 11 + -3p + 2p = 16 + -2p + 2p Combine like terms: -3p + 2p = -1p 11 + -1p = 16 + -2p + 2p Combine like terms: -2p + 2p = 0 11 + -1p = 16 + 0 11 + -1p = 16 Add '-11' to each side of the equation. 11 + -11 + -1p = 16 + -11 Combine like terms: 11 + -11 = 0 0 + -1p = 16 + -11 -1p = 16 + -11 Combine like terms: 16 + -11 = 5 -1p = 5 Divide each side by '-1'. p = -5 Simplifying p = -5
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