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Simplifying 2 + -1(17 + -5p) = 9p + -1(p + 7) 2 + (17 * -1 + -5p * -1) = 9p + -1(p + 7) 2 + (-17 + 5p) = 9p + -1(p + 7) Combine like terms: 2 + -17 = -15 -15 + 5p = 9p + -1(p + 7) Reorder the terms: -15 + 5p = 9p + -1(7 + p) -15 + 5p = 9p + (7 * -1 + p * -1) -15 + 5p = 9p + (-7 + -1p) Reorder the terms: -15 + 5p = -7 + 9p + -1p Combine like terms: 9p + -1p = 8p -15 + 5p = -7 + 8p Solving -15 + 5p = -7 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -15 + 5p + -8p = -7 + 8p + -8p Combine like terms: 5p + -8p = -3p -15 + -3p = -7 + 8p + -8p Combine like terms: 8p + -8p = 0 -15 + -3p = -7 + 0 -15 + -3p = -7 Add '15' to each side of the equation. -15 + 15 + -3p = -7 + 15 Combine like terms: -15 + 15 = 0 0 + -3p = -7 + 15 -3p = -7 + 15 Combine like terms: -7 + 15 = 8 -3p = 8 Divide each side by '-3'. p = -2.666666667 Simplifying p = -2.666666667
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