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Simplifying p + 27 = 4p + -15 Reorder the terms: 27 + p = 4p + -15 Reorder the terms: 27 + p = -15 + 4p Solving 27 + p = -15 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 27 + p + -4p = -15 + 4p + -4p Combine like terms: p + -4p = -3p 27 + -3p = -15 + 4p + -4p Combine like terms: 4p + -4p = 0 27 + -3p = -15 + 0 27 + -3p = -15 Add '-27' to each side of the equation. 27 + -27 + -3p = -15 + -27 Combine like terms: 27 + -27 = 0 0 + -3p = -15 + -27 -3p = -15 + -27 Combine like terms: -15 + -27 = -42 -3p = -42 Divide each side by '-3'. p = 14 Simplifying p = 14
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