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Simplifying 10p + 27 + -5p + -46 = 32 + 3p + -19 Reorder the terms: 27 + -46 + 10p + -5p = 32 + 3p + -19 Combine like terms: 27 + -46 = -19 -19 + 10p + -5p = 32 + 3p + -19 Combine like terms: 10p + -5p = 5p -19 + 5p = 32 + 3p + -19 Reorder the terms: -19 + 5p = 32 + -19 + 3p Combine like terms: 32 + -19 = 13 -19 + 5p = 13 + 3p Solving -19 + 5p = 13 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -19 + 5p + -3p = 13 + 3p + -3p Combine like terms: 5p + -3p = 2p -19 + 2p = 13 + 3p + -3p Combine like terms: 3p + -3p = 0 -19 + 2p = 13 + 0 -19 + 2p = 13 Add '19' to each side of the equation. -19 + 19 + 2p = 13 + 19 Combine like terms: -19 + 19 = 0 0 + 2p = 13 + 19 2p = 13 + 19 Combine like terms: 13 + 19 = 32 2p = 32 Divide each side by '2'. p = 16 Simplifying p = 16
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