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Simplifying p + -1(p + 17) = 9(p + -5) + 5p Reorder the terms: p + -1(17 + p) = 9(p + -5) + 5p p + (17 * -1 + p * -1) = 9(p + -5) + 5p p + (-17 + -1p) = 9(p + -5) + 5p Reorder the terms: -17 + p + -1p = 9(p + -5) + 5p Combine like terms: p + -1p = 0 -17 + 0 = 9(p + -5) + 5p -17 = 9(p + -5) + 5p Reorder the terms: -17 = 9(-5 + p) + 5p -17 = (-5 * 9 + p * 9) + 5p -17 = (-45 + 9p) + 5p Combine like terms: 9p + 5p = 14p -17 = -45 + 14p Solving -17 = -45 + 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. -17 + -14p = -45 + 14p + -14p Combine like terms: 14p + -14p = 0 -17 + -14p = -45 + 0 -17 + -14p = -45 Add '17' to each side of the equation. -17 + 17 + -14p = -45 + 17 Combine like terms: -17 + 17 = 0 0 + -14p = -45 + 17 -14p = -45 + 17 Combine like terms: -45 + 17 = -28 -14p = -28 Divide each side by '-14'. p = 2 Simplifying p = 2
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