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Simplifying (19p + 8r) + -1(10p + 17r + -11) = 0 Remove parenthesis around (19p + 8r) 19p + 8r + -1(10p + 17r + -11) = 0 Reorder the terms: 19p + 8r + -1(-11 + 10p + 17r) = 0 19p + 8r + (-11 * -1 + 10p * -1 + 17r * -1) = 0 19p + 8r + (11 + -10p + -17r) = 0 Reorder the terms: 11 + 19p + -10p + 8r + -17r = 0 Combine like terms: 19p + -10p = 9p 11 + 9p + 8r + -17r = 0 Combine like terms: 8r + -17r = -9r 11 + 9p + -9r = 0 Solving 11 + 9p + -9r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 9p + -11 + -9r = 0 + -11 Reorder the terms: 11 + -11 + 9p + -9r = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 9p + -9r = 0 + -11 9p + -9r = 0 + -11 Combine like terms: 0 + -11 = -11 9p + -9r = -11 Add '9r' to each side of the equation. 9p + -9r + 9r = -11 + 9r Combine like terms: -9r + 9r = 0 9p + 0 = -11 + 9r 9p = -11 + 9r Divide each side by '9'. p = -1.222222222 + r Simplifying p = -1.222222222 + r
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