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Simplifying -10(5 + 3p) = 11(p + -12) (5 * -10 + 3p * -10) = 11(p + -12) (-50 + -30p) = 11(p + -12) Reorder the terms: -50 + -30p = 11(-12 + p) -50 + -30p = (-12 * 11 + p * 11) -50 + -30p = (-132 + 11p) Solving -50 + -30p = -132 + 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. -50 + -30p + -11p = -132 + 11p + -11p Combine like terms: -30p + -11p = -41p -50 + -41p = -132 + 11p + -11p Combine like terms: 11p + -11p = 0 -50 + -41p = -132 + 0 -50 + -41p = -132 Add '50' to each side of the equation. -50 + 50 + -41p = -132 + 50 Combine like terms: -50 + 50 = 0 0 + -41p = -132 + 50 -41p = -132 + 50 Combine like terms: -132 + 50 = -82 -41p = -82 Divide each side by '-41'. p = 2 Simplifying p = 2
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