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Simplifying 5p + -4(1 + -1p) = 2p + 3(1 + -1p) 5p + (1 * -4 + -1p * -4) = 2p + 3(1 + -1p) 5p + (-4 + 4p) = 2p + 3(1 + -1p) Reorder the terms: -4 + 5p + 4p = 2p + 3(1 + -1p) Combine like terms: 5p + 4p = 9p -4 + 9p = 2p + 3(1 + -1p) -4 + 9p = 2p + (1 * 3 + -1p * 3) -4 + 9p = 2p + (3 + -3p) Reorder the terms: -4 + 9p = 3 + 2p + -3p Combine like terms: 2p + -3p = -1p -4 + 9p = 3 + -1p Solving -4 + 9p = 3 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -4 + 9p + p = 3 + -1p + p Combine like terms: 9p + p = 10p -4 + 10p = 3 + -1p + p Combine like terms: -1p + p = 0 -4 + 10p = 3 + 0 -4 + 10p = 3 Add '4' to each side of the equation. -4 + 4 + 10p = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 10p = 3 + 4 10p = 3 + 4 Combine like terms: 3 + 4 = 7 10p = 7 Divide each side by '10'. p = 0.7 Simplifying p = 0.7
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