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