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Simplifying 6r + 5t + -8p + 6p + 7(2r + -4r) = 0 Combine like terms: 2r + -4r = -2r 6r + 5t + -8p + 6p + 7(-2r) = 0 Remove parenthesis around (-2r) 6r + 5t + -8p + 6p + 7 * -2r = 0 Multiply 7 * -2 6r + 5t + -8p + 6p + -14r = 0 Reorder the terms: -8p + 6p + 6r + -14r + 5t = 0 Combine like terms: -8p + 6p = -2p -2p + 6r + -14r + 5t = 0 Combine like terms: 6r + -14r = -8r -2p + -8r + 5t = 0 Solving -2p + -8r + 5t = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8r' to each side of the equation. -2p + -8r + 8r + 5t = 0 + 8r Combine like terms: -8r + 8r = 0 -2p + 0 + 5t = 0 + 8r -2p + 5t = 0 + 8r Remove the zero: -2p + 5t = 8r Add '-5t' to each side of the equation. -2p + 5t + -5t = 8r + -5t Combine like terms: 5t + -5t = 0 -2p + 0 = 8r + -5t -2p = 8r + -5t Divide each side by '-2'. p = -4r + 2.5t Simplifying p = -4r + 2.5t
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