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Simplifying -3(p + -12) + -11p = -3(p + -2) + -8p Reorder the terms: -3(-12 + p) + -11p = -3(p + -2) + -8p (-12 * -3 + p * -3) + -11p = -3(p + -2) + -8p (36 + -3p) + -11p = -3(p + -2) + -8p Combine like terms: -3p + -11p = -14p 36 + -14p = -3(p + -2) + -8p Reorder the terms: 36 + -14p = -3(-2 + p) + -8p 36 + -14p = (-2 * -3 + p * -3) + -8p 36 + -14p = (6 + -3p) + -8p Combine like terms: -3p + -8p = -11p 36 + -14p = 6 + -11p Solving 36 + -14p = 6 + -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. 36 + -14p + 11p = 6 + -11p + 11p Combine like terms: -14p + 11p = -3p 36 + -3p = 6 + -11p + 11p Combine like terms: -11p + 11p = 0 36 + -3p = 6 + 0 36 + -3p = 6 Add '-36' to each side of the equation. 36 + -36 + -3p = 6 + -36 Combine like terms: 36 + -36 = 0 0 + -3p = 6 + -36 -3p = 6 + -36 Combine like terms: 6 + -36 = -30 -3p = -30 Divide each side by '-3'. p = 10 Simplifying p = 10
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