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Simplifying p + -1(p + 7) = 5(p + -5) + 4p Reorder the terms: p + -1(7 + p) = 5(p + -5) + 4p p + (7 * -1 + p * -1) = 5(p + -5) + 4p p + (-7 + -1p) = 5(p + -5) + 4p Reorder the terms: -7 + p + -1p = 5(p + -5) + 4p Combine like terms: p + -1p = 0 -7 + 0 = 5(p + -5) + 4p -7 = 5(p + -5) + 4p Reorder the terms: -7 = 5(-5 + p) + 4p -7 = (-5 * 5 + p * 5) + 4p -7 = (-25 + 5p) + 4p Combine like terms: 5p + 4p = 9p -7 = -25 + 9p Solving -7 = -25 + 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. -7 + -9p = -25 + 9p + -9p Combine like terms: 9p + -9p = 0 -7 + -9p = -25 + 0 -7 + -9p = -25 Add '7' to each side of the equation. -7 + 7 + -9p = -25 + 7 Combine like terms: -7 + 7 = 0 0 + -9p = -25 + 7 -9p = -25 + 7 Combine like terms: -25 + 7 = -18 -9p = -18 Divide each side by '-9'. p = 2 Simplifying p = 2
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