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Simplifying -27 + -1p = -6(1 + -1p) -27 + -1p = (1 * -6 + -1p * -6) -27 + -1p = (-6 + 6p) Solving -27 + -1p = -6 + 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 + -1p + -6p = -6 + 6p + -6p Combine like terms: -1p + -6p = -7p -27 + -7p = -6 + 6p + -6p Combine like terms: 6p + -6p = 0 -27 + -7p = -6 + 0 -27 + -7p = -6 Add '27' to each side of the equation. -27 + 27 + -7p = -6 + 27 Combine like terms: -27 + 27 = 0 0 + -7p = -6 + 27 -7p = -6 + 27 Combine like terms: -6 + 27 = 21 -7p = 21 Divide each side by '-7'. p = -3 Simplifying p = -3
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