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Simplifying 27 + -2p = (1 + 6p) + -6 Remove parenthesis around (1 + 6p) 27 + -2p = 1 + 6p + -6 Reorder the terms: 27 + -2p = 1 + -6 + 6p Combine like terms: 1 + -6 = -5 27 + -2p = -5 + 6p Solving 27 + -2p = -5 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 27 + -2p + -6p = -5 + 6p + -6p Combine like terms: -2p + -6p = -8p 27 + -8p = -5 + 6p + -6p Combine like terms: 6p + -6p = 0 27 + -8p = -5 + 0 27 + -8p = -5 Add '-27' to each side of the equation. 27 + -27 + -8p = -5 + -27 Combine like terms: 27 + -27 = 0 0 + -8p = -5 + -27 -8p = -5 + -27 Combine like terms: -5 + -27 = -32 -8p = -32 Divide each side by '-8'. p = 4 Simplifying p = 4
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