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Simplifying 2 + -4p = -3(-8 + 5p) 2 + -4p = (-8 * -3 + 5p * -3) 2 + -4p = (24 + -15p) Solving 2 + -4p = 24 + -15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15p' to each side of the equation. 2 + -4p + 15p = 24 + -15p + 15p Combine like terms: -4p + 15p = 11p 2 + 11p = 24 + -15p + 15p Combine like terms: -15p + 15p = 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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