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Simplifying 4(1 + 6p) + -4(1 + -1p) = -3p + 11p (1 * 4 + 6p * 4) + -4(1 + -1p) = -3p + 11p (4 + 24p) + -4(1 + -1p) = -3p + 11p 4 + 24p + (1 * -4 + -1p * -4) = -3p + 11p 4 + 24p + (-4 + 4p) = -3p + 11p Reorder the terms: 4 + -4 + 24p + 4p = -3p + 11p Combine like terms: 4 + -4 = 0 0 + 24p + 4p = -3p + 11p 24p + 4p = -3p + 11p Combine like terms: 24p + 4p = 28p 28p = -3p + 11p Combine like terms: -3p + 11p = 8p 28p = 8p Solving 28p = 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. 28p + -8p = 8p + -8p Combine like terms: 28p + -8p = 20p 20p = 8p + -8p Combine like terms: 8p + -8p = 0 20p = 0 Divide each side by '20'. p = 0.0 Simplifying p = 0.0
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