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Simplifying 5p + -1(8p + -3q + 2r) = 0 5p + (8p * -1 + -3q * -1 + 2r * -1) = 0 5p + (-8p + 3q + -2r) = 0 Combine like terms: 5p + -8p = -3p -3p + 3q + -2r = 0 Solving -3p + 3q + -2r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3q' to each side of the equation. -3p + 3q + -3q + -2r = 0 + -3q Combine like terms: 3q + -3q = 0 -3p + 0 + -2r = 0 + -3q -3p + -2r = 0 + -3q Remove the zero: -3p + -2r = -3q Add '2r' to each side of the equation. -3p + -2r + 2r = -3q + 2r Combine like terms: -2r + 2r = 0 -3p + 0 = -3q + 2r -3p = -3q + 2r Divide each side by '-3'. p = q + -0.6666666667r Simplifying p = q + -0.6666666667r
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