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Simplifying p + 5(3p + -1) = 27 + 8p Reorder the terms: p + 5(-1 + 3p) = 27 + 8p p + (-1 * 5 + 3p * 5) = 27 + 8p p + (-5 + 15p) = 27 + 8p Reorder the terms: -5 + p + 15p = 27 + 8p Combine like terms: p + 15p = 16p -5 + 16p = 27 + 8p Solving -5 + 16p = 27 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -5 + 16p + -8p = 27 + 8p + -8p Combine like terms: 16p + -8p = 8p -5 + 8p = 27 + 8p + -8p Combine like terms: 8p + -8p = 0 -5 + 8p = 27 + 0 -5 + 8p = 27 Add '5' to each side of the equation. -5 + 5 + 8p = 27 + 5 Combine like terms: -5 + 5 = 0 0 + 8p = 27 + 5 8p = 27 + 5 Combine like terms: 27 + 5 = 32 8p = 32 Divide each side by '8'. p = 4 Simplifying p = 4
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