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Simplifying 4(1 + -2p) = 16 + -5p (1 * 4 + -2p * 4) = 16 + -5p (4 + -8p) = 16 + -5p Solving 4 + -8p = 16 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. 4 + -8p + 5p = 16 + -5p + 5p Combine like terms: -8p + 5p = -3p 4 + -3p = 16 + -5p + 5p Combine like terms: -5p + 5p = 0 4 + -3p = 16 + 0 4 + -3p = 16 Add '-4' to each side of the equation. 4 + -4 + -3p = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -3p = 16 + -4 -3p = 16 + -4 Combine like terms: 16 + -4 = 12 -3p = 12 Divide each side by '-3'. p = -4 Simplifying p = -4
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