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Simplifying p + -1(p + 27) = 9(p + -3) + 5p Reorder the terms: p + -1(27 + p) = 9(p + -3) + 5p p + (27 * -1 + p * -1) = 9(p + -3) + 5p p + (-27 + -1p) = 9(p + -3) + 5p Reorder the terms: -27 + p + -1p = 9(p + -3) + 5p Combine like terms: p + -1p = 0 -27 + 0 = 9(p + -3) + 5p -27 = 9(p + -3) + 5p Reorder the terms: -27 = 9(-3 + p) + 5p -27 = (-3 * 9 + p * 9) + 5p -27 = (-27 + 9p) + 5p Combine like terms: 9p + 5p = 14p -27 = -27 + 14p Add '27' to each side of the equation. -27 + 27 = -27 + 27 + 14p Combine like terms: -27 + 27 = 0 0 = -27 + 27 + 14p Combine like terms: -27 + 27 = 0 0 = 0 + 14p 0 = 14p Solving 0 = 14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14p' to each side of the equation. 0 + -14p = 14p + -14p Remove the zero: -14p = 14p + -14p Combine like terms: 14p + -14p = 0 -14p = 0 Divide each side by '-14'. p = 0 Simplifying p = 0
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