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Simplifying 12 + -27 = -3p + 15 + -3p Combine like terms: 12 + -27 = -15 -15 = -3p + 15 + -3p Reorder the terms: -15 = 15 + -3p + -3p Combine like terms: -3p + -3p = -6p -15 = 15 + -6p Solving -15 = 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. -15 + 6p = 15 + -6p + 6p Combine like terms: -6p + 6p = 0 -15 + 6p = 15 + 0 -15 + 6p = 15 Add '15' to each side of the equation. -15 + 15 + 6p = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 6p = 15 + 15 6p = 15 + 15 Combine like terms: 15 + 15 = 30 6p = 30 Divide each side by '6'. p = 5 Simplifying p = 5
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