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Simplifying -18 + -19(p + 3) = -11(p + -7) Reorder the terms: -18 + -19(3 + p) = -11(p + -7) -18 + (3 * -19 + p * -19) = -11(p + -7) -18 + (-57 + -19p) = -11(p + -7) Combine like terms: -18 + -57 = -75 -75 + -19p = -11(p + -7) Reorder the terms: -75 + -19p = -11(-7 + p) -75 + -19p = (-7 * -11 + p * -11) -75 + -19p = (77 + -11p) Solving -75 + -19p = 77 + -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. -75 + -19p + 11p = 77 + -11p + 11p Combine like terms: -19p + 11p = -8p -75 + -8p = 77 + -11p + 11p Combine like terms: -11p + 11p = 0 -75 + -8p = 77 + 0 -75 + -8p = 77 Add '75' to each side of the equation. -75 + 75 + -8p = 77 + 75 Combine like terms: -75 + 75 = 0 0 + -8p = 77 + 75 -8p = 77 + 75 Combine like terms: 77 + 75 = 152 -8p = 152 Divide each side by '-8'. p = -19 Simplifying p = -19
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