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Simplifying -27 = 6p + 15 + -12p Reorder the terms: -27 = 15 + 6p + -12p Combine like terms: 6p + -12p = -6p -27 = 15 + -6p Solving -27 = 15 + -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 + 6p = 15 + -6p + 6p Combine like terms: -6p + 6p = 0 -27 + 6p = 15 + 0 -27 + 6p = 15 Add '27' to each side of the equation. -27 + 27 + 6p = 15 + 27 Combine like terms: -27 + 27 = 0 0 + 6p = 15 + 27 6p = 15 + 27 Combine like terms: 15 + 27 = 42 6p = 42 Divide each side by '6'. p = 7 Simplifying p = 7
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