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Simplifying 4r + -5s + 13p + 6r + -11p = 0 Reorder the terms: 13p + -11p + 4r + 6r + -5s = 0 Combine like terms: 13p + -11p = 2p 2p + 4r + 6r + -5s = 0 Combine like terms: 4r + 6r = 10r 2p + 10r + -5s = 0 Solving 2p + 10r + -5s = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10r' to each side of the equation. 2p + 10r + -10r + -5s = 0 + -10r Combine like terms: 10r + -10r = 0 2p + 0 + -5s = 0 + -10r 2p + -5s = 0 + -10r Remove the zero: 2p + -5s = -10r Add '5s' to each side of the equation. 2p + -5s + 5s = -10r + 5s Combine like terms: -5s + 5s = 0 2p + 0 = -10r + 5s 2p = -10r + 5s Divide each side by '2'. p = -5r + 2.5s Simplifying p = -5r + 2.5s
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