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Simplifying -3(1 + 11p) + -9p = -11(p + -11) (1 * -3 + 11p * -3) + -9p = -11(p + -11) (-3 + -33p) + -9p = -11(p + -11) Combine like terms: -33p + -9p = -42p -3 + -42p = -11(p + -11) Reorder the terms: -3 + -42p = -11(-11 + p) -3 + -42p = (-11 * -11 + p * -11) -3 + -42p = (121 + -11p) Solving -3 + -42p = 121 + -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. -3 + -42p + 11p = 121 + -11p + 11p Combine like terms: -42p + 11p = -31p -3 + -31p = 121 + -11p + 11p Combine like terms: -11p + 11p = 0 -3 + -31p = 121 + 0 -3 + -31p = 121 Add '3' to each side of the equation. -3 + 3 + -31p = 121 + 3 Combine like terms: -3 + 3 = 0 0 + -31p = 121 + 3 -31p = 121 + 3 Combine like terms: 121 + 3 = 124 -31p = 124 Divide each side by '-31'. p = -4 Simplifying p = -4
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