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Simplifying 3p + 4q + -8(3p + -8q + 2r) = 0 3p + 4q + (3p * -8 + -8q * -8 + 2r * -8) = 0 3p + 4q + (-24p + 64q + -16r) = 0 Reorder the terms: 3p + -24p + 4q + 64q + -16r = 0 Combine like terms: 3p + -24p = -21p -21p + 4q + 64q + -16r = 0 Combine like terms: 4q + 64q = 68q -21p + 68q + -16r = 0 Solving -21p + 68q + -16r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-68q' to each side of the equation. -21p + 68q + -68q + -16r = 0 + -68q Combine like terms: 68q + -68q = 0 -21p + 0 + -16r = 0 + -68q -21p + -16r = 0 + -68q Remove the zero: -21p + -16r = -68q Add '16r' to each side of the equation. -21p + -16r + 16r = -68q + 16r Combine like terms: -16r + 16r = 0 -21p + 0 = -68q + 16r -21p = -68q + 16r Divide each side by '-21'. p = 3.238095238q + -0.7619047619r Simplifying p = 3.238095238q + -0.7619047619r
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