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Simplifying p + -1(p + 1) = 5(p + -2) + 4p Reorder the terms: p + -1(1 + p) = 5(p + -2) + 4p p + (1 * -1 + p * -1) = 5(p + -2) + 4p p + (-1 + -1p) = 5(p + -2) + 4p Reorder the terms: -1 + p + -1p = 5(p + -2) + 4p Combine like terms: p + -1p = 0 -1 + 0 = 5(p + -2) + 4p -1 = 5(p + -2) + 4p Reorder the terms: -1 = 5(-2 + p) + 4p -1 = (-2 * 5 + p * 5) + 4p -1 = (-10 + 5p) + 4p Combine like terms: 5p + 4p = 9p -1 = -10 + 9p Solving -1 = -10 + 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. -1 + -9p = -10 + 9p + -9p Combine like terms: 9p + -9p = 0 -1 + -9p = -10 + 0 -1 + -9p = -10 Add '1' to each side of the equation. -1 + 1 + -9p = -10 + 1 Combine like terms: -1 + 1 = 0 0 + -9p = -10 + 1 -9p = -10 + 1 Combine like terms: -10 + 1 = -9 -9p = -9 Divide each side by '-9'. p = 1 Simplifying p = 1
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