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Simplifying 4p + -5(1 + -1p) = 2p + -1(1 + -1p) 4p + (1 * -5 + -1p * -5) = 2p + -1(1 + -1p) 4p + (-5 + 5p) = 2p + -1(1 + -1p) Reorder the terms: -5 + 4p + 5p = 2p + -1(1 + -1p) Combine like terms: 4p + 5p = 9p -5 + 9p = 2p + -1(1 + -1p) -5 + 9p = 2p + (1 * -1 + -1p * -1) -5 + 9p = 2p + (-1 + 1p) Reorder the terms: -5 + 9p = -1 + 2p + 1p Combine like terms: 2p + 1p = 3p -5 + 9p = -1 + 3p Solving -5 + 9p = -1 + 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. -5 + 9p + -3p = -1 + 3p + -3p Combine like terms: 9p + -3p = 6p -5 + 6p = -1 + 3p + -3p Combine like terms: 3p + -3p = 0 -5 + 6p = -1 + 0 -5 + 6p = -1 Add '5' to each side of the equation. -5 + 5 + 6p = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 6p = -1 + 5 6p = -1 + 5 Combine like terms: -1 + 5 = 4 6p = 4 Divide each side by '6'. p = 0.6666666667 Simplifying p = 0.6666666667
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