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Simplifying 6 + -1(p + 1) = 4(1 + -2p) Reorder the terms: 6 + -1(1 + p) = 4(1 + -2p) 6 + (1 * -1 + p * -1) = 4(1 + -2p) 6 + (-1 + -1p) = 4(1 + -2p) Combine like terms: 6 + -1 = 5 5 + -1p = 4(1 + -2p) 5 + -1p = (1 * 4 + -2p * 4) 5 + -1p = (4 + -8p) Solving 5 + -1p = 4 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 5 + -1p + 8p = 4 + -8p + 8p Combine like terms: -1p + 8p = 7p 5 + 7p = 4 + -8p + 8p Combine like terms: -8p + 8p = 0 5 + 7p = 4 + 0 5 + 7p = 4 Add '-5' to each side of the equation. 5 + -5 + 7p = 4 + -5 Combine like terms: 5 + -5 = 0 0 + 7p = 4 + -5 7p = 4 + -5 Combine like terms: 4 + -5 = -1 7p = -1 Divide each side by '7'. p = -0.1428571429 Simplifying p = -0.1428571429
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