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Simplifying 6r + 5r + -8p + 6p + 7(2r + -4r) = 0 Combine like terms: 2r + -4r = -2r 6r + 5r + -8p + 6p + 7(-2r) = 0 Remove parenthesis around (-2r) 6r + 5r + -8p + 6p + 7 * -2r = 0 Multiply 7 * -2 6r + 5r + -8p + 6p + -14r = 0 Reorder the terms: -8p + 6p + 6r + 5r + -14r = 0 Combine like terms: -8p + 6p = -2p -2p + 6r + 5r + -14r = 0 Combine like terms: 6r + 5r = 11r -2p + 11r + -14r = 0 Combine like terms: 11r + -14r = -3r -2p + -3r = 0 Solving -2p + -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. -2p + -3r + 3r = 0 + 3r Combine like terms: -3r + 3r = 0 -2p + 0 = 0 + 3r -2p = 0 + 3r Remove the zero: -2p = 3r Divide each side by '-2'. p = -1.5r Simplifying p = -1.5r
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