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Simplifying 5 + 5p + -2 = 6p + 27 + -4p Reorder the terms: 5 + -2 + 5p = 6p + 27 + -4p Combine like terms: 5 + -2 = 3 3 + 5p = 6p + 27 + -4p Reorder the terms: 3 + 5p = 27 + 6p + -4p Combine like terms: 6p + -4p = 2p 3 + 5p = 27 + 2p Solving 3 + 5p = 27 + 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. 3 + 5p + -2p = 27 + 2p + -2p Combine like terms: 5p + -2p = 3p 3 + 3p = 27 + 2p + -2p Combine like terms: 2p + -2p = 0 3 + 3p = 27 + 0 3 + 3p = 27 Add '-3' to each side of the equation. 3 + -3 + 3p = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 3p = 27 + -3 3p = 27 + -3 Combine like terms: 27 + -3 = 24 3p = 24 Divide each side by '3'. p = 8 Simplifying p = 8
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