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Simplifying 2p + 4(6 + -2p) = 5(p + -2) 2p + (6 * 4 + -2p * 4) = 5(p + -2) 2p + (24 + -8p) = 5(p + -2) Reorder the terms: 24 + 2p + -8p = 5(p + -2) Combine like terms: 2p + -8p = -6p 24 + -6p = 5(p + -2) Reorder the terms: 24 + -6p = 5(-2 + p) 24 + -6p = (-2 * 5 + p * 5) 24 + -6p = (-10 + 5p) Solving 24 + -6p = -10 + 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. 24 + -6p + -5p = -10 + 5p + -5p Combine like terms: -6p + -5p = -11p 24 + -11p = -10 + 5p + -5p Combine like terms: 5p + -5p = 0 24 + -11p = -10 + 0 24 + -11p = -10 Add '-24' to each side of the equation. 24 + -24 + -11p = -10 + -24 Combine like terms: 24 + -24 = 0 0 + -11p = -10 + -24 -11p = -10 + -24 Combine like terms: -10 + -24 = -34 -11p = -34 Divide each side by '-11'. p = 3.090909091 Simplifying p = 3.090909091
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