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Simplifying -11 + 19(p + 10) = 4 + -5(2p + 11) Reorder the terms: -11 + 19(10 + p) = 4 + -5(2p + 11) -11 + (10 * 19 + p * 19) = 4 + -5(2p + 11) -11 + (190 + 19p) = 4 + -5(2p + 11) Combine like terms: -11 + 190 = 179 179 + 19p = 4 + -5(2p + 11) Reorder the terms: 179 + 19p = 4 + -5(11 + 2p) 179 + 19p = 4 + (11 * -5 + 2p * -5) 179 + 19p = 4 + (-55 + -10p) Combine like terms: 4 + -55 = -51 179 + 19p = -51 + -10p Solving 179 + 19p = -51 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. 179 + 19p + 10p = -51 + -10p + 10p Combine like terms: 19p + 10p = 29p 179 + 29p = -51 + -10p + 10p Combine like terms: -10p + 10p = 0 179 + 29p = -51 + 0 179 + 29p = -51 Add '-179' to each side of the equation. 179 + -179 + 29p = -51 + -179 Combine like terms: 179 + -179 = 0 0 + 29p = -51 + -179 29p = -51 + -179 Combine like terms: -51 + -179 = -230 29p = -230 Divide each side by '29'. p = -7.931034483 Simplifying p = -7.931034483
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