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Simplifying 3p + 8q + -4(3p + -5q + 4r) = 0 3p + 8q + (3p * -4 + -5q * -4 + 4r * -4) = 0 3p + 8q + (-12p + 20q + -16r) = 0 Reorder the terms: 3p + -12p + 8q + 20q + -16r = 0 Combine like terms: 3p + -12p = -9p -9p + 8q + 20q + -16r = 0 Combine like terms: 8q + 20q = 28q -9p + 28q + -16r = 0 Solving -9p + 28q + -16r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-28q' to each side of the equation. -9p + 28q + -28q + -16r = 0 + -28q Combine like terms: 28q + -28q = 0 -9p + 0 + -16r = 0 + -28q -9p + -16r = 0 + -28q Remove the zero: -9p + -16r = -28q Add '16r' to each side of the equation. -9p + -16r + 16r = -28q + 16r Combine like terms: -16r + 16r = 0 -9p + 0 = -28q + 16r -9p = -28q + 16r Divide each side by '-9'. p = 3.111111111q + -1.777777778r Simplifying p = 3.111111111q + -1.777777778r
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