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Simplifying 9(p + -1) = -1(1 + -5p) Reorder the terms: 9(-1 + p) = -1(1 + -5p) (-1 * 9 + p * 9) = -1(1 + -5p) (-9 + 9p) = -1(1 + -5p) -9 + 9p = (1 * -1 + -5p * -1) -9 + 9p = (-1 + 5p) Solving -9 + 9p = -1 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -9 + 9p + -5p = -1 + 5p + -5p Combine like terms: 9p + -5p = 4p -9 + 4p = -1 + 5p + -5p Combine like terms: 5p + -5p = 0 -9 + 4p = -1 + 0 -9 + 4p = -1 Add '9' to each side of the equation. -9 + 9 + 4p = -1 + 9 Combine like terms: -9 + 9 = 0 0 + 4p = -1 + 9 4p = -1 + 9 Combine like terms: -1 + 9 = 8 4p = 8 Divide each side by '4'. p = 2 Simplifying p = 2
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