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Simplifying (5p + 3r) + (10p + -6r) = 0 Remove parenthesis around (5p + 3r) 5p + 3r + (10p + -6r) = 0 Remove parenthesis around (10p + -6r) 5p + 3r + 10p + -6r = 0 Reorder the terms: 5p + 10p + 3r + -6r = 0 Combine like terms: 5p + 10p = 15p 15p + 3r + -6r = 0 Combine like terms: 3r + -6r = -3r 15p + -3r = 0 Solving 15p + -3r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3r' to each side of the equation. 15p + -3r + 3r = 0 + 3r Combine like terms: -3r + 3r = 0 15p + 0 = 0 + 3r 15p = 0 + 3r Remove the zero: 15p = 3r Divide each side by '15'. p = 0.2r Simplifying p = 0.2r
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