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Simplifying -27 + 6p = -3(-3p + 5) Reorder the terms: -27 + 6p = -3(5 + -3p) -27 + 6p = (5 * -3 + -3p * -3) -27 + 6p = (-15 + 9p) Solving -27 + 6p = -15 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -27 + 6p + -9p = -15 + 9p + -9p Combine like terms: 6p + -9p = -3p -27 + -3p = -15 + 9p + -9p Combine like terms: 9p + -9p = 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 = 12 -3p = 12 Divide each side by '-3'. p = -4 Simplifying p = -4
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