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Simplifying -4p + (-1)(1 + -1p) = 1p + (-2)(1 + -1p) -4p + (1 * -1 + -1p * -1) = 1p + (-2)(1 + -1p) -4p + (-1 + 1p) = 1p + (-2)(1 + -1p) Reorder the terms: -1 + -4p + 1p = 1p + (-2)(1 + -1p) Combine like terms: -4p + 1p = -3p -1 + -3p = 1p + (-2)(1 + -1p) -1 + -3p = 1p + (1 * -2 + -1p * -2) -1 + -3p = 1p + (-2 + 2p) Reorder the terms: -1 + -3p = -2 + 1p + 2p Combine like terms: 1p + 2p = 3p -1 + -3p = -2 + 3p Solving -1 + -3p = -2 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -1 + -3p + -3p = -2 + 3p + -3p Combine like terms: -3p + -3p = -6p -1 + -6p = -2 + 3p + -3p Combine like terms: 3p + -3p = 0 -1 + -6p = -2 + 0 -1 + -6p = -2 Add '1' to each side of the equation. -1 + 1 + -6p = -2 + 1 Combine like terms: -1 + 1 = 0 0 + -6p = -2 + 1 -6p = -2 + 1 Combine like terms: -2 + 1 = -1 -6p = -1 Divide each side by '-6'. p = 0.1666666667 Simplifying p = 0.1666666667
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