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Simplifying -111 + 19(p + 10) = 4 + -5(2p + 11) Reorder the terms: -111 + 19(10 + p) = 4 + -5(2p + 11) -111 + (10 * 19 + p * 19) = 4 + -5(2p + 11) -111 + (190 + 19p) = 4 + -5(2p + 11) Combine like terms: -111 + 190 = 79 79 + 19p = 4 + -5(2p + 11) Reorder the terms: 79 + 19p = 4 + -5(11 + 2p) 79 + 19p = 4 + (11 * -5 + 2p * -5) 79 + 19p = 4 + (-55 + -10p) Combine like terms: 4 + -55 = -51 79 + 19p = -51 + -10p Solving 79 + 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. 79 + 19p + 10p = -51 + -10p + 10p Combine like terms: 19p + 10p = 29p 79 + 29p = -51 + -10p + 10p Combine like terms: -10p + 10p = 0 79 + 29p = -51 + 0 79 + 29p = -51 Add '-79' to each side of the equation. 79 + -79 + 29p = -51 + -79 Combine like terms: 79 + -79 = 0 0 + 29p = -51 + -79 29p = -51 + -79 Combine like terms: -51 + -79 = -130 29p = -130 Divide each side by '29'. p = -4.482758621 Simplifying p = -4.482758621
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