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Simplifying -18 + -19p = -11(2p + -9) Reorder the terms: -18 + -19p = -11(-9 + 2p) -18 + -19p = (-9 * -11 + 2p * -11) -18 + -19p = (99 + -22p) Solving -18 + -19p = 99 + -22p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '22p' to each side of the equation. -18 + -19p + 22p = 99 + -22p + 22p Combine like terms: -19p + 22p = 3p -18 + 3p = 99 + -22p + 22p Combine like terms: -22p + 22p = 0 -18 + 3p = 99 + 0 -18 + 3p = 99 Add '18' to each side of the equation. -18 + 18 + 3p = 99 + 18 Combine like terms: -18 + 18 = 0 0 + 3p = 99 + 18 3p = 99 + 18 Combine like terms: 99 + 18 = 117 3p = 117 Divide each side by '3'. p = 39 Simplifying p = 39
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