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Simplifying 6 + -4(1 + -4p) = 24 + 5p 6 + (1 * -4 + -4p * -4) = 24 + 5p 6 + (-4 + 16p) = 24 + 5p Combine like terms: 6 + -4 = 2 2 + 16p = 24 + 5p Solving 2 + 16p = 24 + 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. 2 + 16p + -5p = 24 + 5p + -5p Combine like terms: 16p + -5p = 11p 2 + 11p = 24 + 5p + -5p Combine like terms: 5p + -5p = 0 2 + 11p = 24 + 0 2 + 11p = 24 Add '-2' to each side of the equation. 2 + -2 + 11p = 24 + -2 Combine like terms: 2 + -2 = 0 0 + 11p = 24 + -2 11p = 24 + -2 Combine like terms: 24 + -2 = 22 11p = 22 Divide each side by '11'. p = 2 Simplifying p = 2
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