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Simplifying 2 + 6(5p + -4) = 11(p + -2) Reorder the terms: 2 + 6(-4 + 5p) = 11(p + -2) 2 + (-4 * 6 + 5p * 6) = 11(p + -2) 2 + (-24 + 30p) = 11(p + -2) Combine like terms: 2 + -24 = -22 -22 + 30p = 11(p + -2) Reorder the terms: -22 + 30p = 11(-2 + p) -22 + 30p = (-2 * 11 + p * 11) -22 + 30p = (-22 + 11p) Add '22' to each side of the equation. -22 + 22 + 30p = -22 + 22 + 11p Combine like terms: -22 + 22 = 0 0 + 30p = -22 + 22 + 11p 30p = -22 + 22 + 11p Combine like terms: -22 + 22 = 0 30p = 0 + 11p 30p = 11p Solving 30p = 11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11p' to each side of the equation. 30p + -11p = 11p + -11p Combine like terms: 30p + -11p = 19p 19p = 11p + -11p Combine like terms: 11p + -11p = 0 19p = 0 Divide each side by '19'. p = 0 Simplifying p = 0
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