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Simplifying 4p + -3(1 + -1p) = 3p + 5(1 + -1p) 4p + (1 * -3 + -1p * -3) = 3p + 5(1 + -1p) 4p + (-3 + 3p) = 3p + 5(1 + -1p) Reorder the terms: -3 + 4p + 3p = 3p + 5(1 + -1p) Combine like terms: 4p + 3p = 7p -3 + 7p = 3p + 5(1 + -1p) -3 + 7p = 3p + (1 * 5 + -1p * 5) -3 + 7p = 3p + (5 + -5p) Reorder the terms: -3 + 7p = 5 + 3p + -5p Combine like terms: 3p + -5p = -2p -3 + 7p = 5 + -2p Solving -3 + 7p = 5 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -3 + 7p + 2p = 5 + -2p + 2p Combine like terms: 7p + 2p = 9p -3 + 9p = 5 + -2p + 2p Combine like terms: -2p + 2p = 0 -3 + 9p = 5 + 0 -3 + 9p = 5 Add '3' to each side of the equation. -3 + 3 + 9p = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 9p = 5 + 3 9p = 5 + 3 Combine like terms: 5 + 3 = 8 9p = 8 Divide each side by '9'. p = 0.8888888889 Simplifying p = 0.8888888889
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