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Simplifying (8(p + 5) + -19) + (3(p + -2) + 5) = 0 Reorder the terms: (8(5 + p) + -19) + (3(p + -2) + 5) = 0 ((5 * 8 + p * 8) + -19) + (3(p + -2) + 5) = 0 ((40 + 8p) + -19) + (3(p + -2) + 5) = 0 Reorder the terms: (40 + -19 + 8p) + (3(p + -2) + 5) = 0 Combine like terms: 40 + -19 = 21 (21 + 8p) + (3(p + -2) + 5) = 0 Remove parenthesis around (21 + 8p) 21 + 8p + (3(p + -2) + 5) = 0 Reorder the terms: 21 + 8p + (3(-2 + p) + 5) = 0 21 + 8p + ((-2 * 3 + p * 3) + 5) = 0 21 + 8p + ((-6 + 3p) + 5) = 0 Reorder the terms: 21 + 8p + (-6 + 5 + 3p) = 0 Combine like terms: -6 + 5 = -1 21 + 8p + (-1 + 3p) = 0 Remove parenthesis around (-1 + 3p) 21 + 8p + -1 + 3p = 0 Reorder the terms: 21 + -1 + 8p + 3p = 0 Combine like terms: 21 + -1 = 20 20 + 8p + 3p = 0 Combine like terms: 8p + 3p = 11p 20 + 11p = 0 Solving 20 + 11p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 11p = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 11p = 0 + -20 11p = 0 + -20 Combine like terms: 0 + -20 = -20 11p = -20 Divide each side by '11'. p = -1.818181818 Simplifying p = -1.818181818
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