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Simplifying (2p + -5r) = (3p + 6r) + (p + -1r) Remove parenthesis around (2p + -5r) 2p + -5r = (3p + 6r) + (p + -1r) Remove parenthesis around (3p + 6r) 2p + -5r = 3p + 6r + (p + -1r) Remove parenthesis around (p + -1r) 2p + -5r = 3p + 6r + p + -1r Reorder the terms: 2p + -5r = 3p + p + 6r + -1r Combine like terms: 3p + p = 4p 2p + -5r = 4p + 6r + -1r Combine like terms: 6r + -1r = 5r 2p + -5r = 4p + 5r Solving 2p + -5r = 4p + 5r Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 2p + -4p + -5r = 4p + -4p + 5r Combine like terms: 2p + -4p = -2p -2p + -5r = 4p + -4p + 5r Combine like terms: 4p + -4p = 0 -2p + -5r = 0 + 5r -2p + -5r = 5r Add '5r' to each side of the equation. -2p + -5r + 5r = 5r + 5r Combine like terms: -5r + 5r = 0 -2p + 0 = 5r + 5r -2p = 5r + 5r Combine like terms: 5r + 5r = 10r -2p = 10r Divide each side by '-2'. p = -5r Simplifying p = -5r
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