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Simplifying 4p + 3q + -9(4p + -7q + 2r) = 0 4p + 3q + (4p * -9 + -7q * -9 + 2r * -9) = 0 4p + 3q + (-36p + 63q + -18r) = 0 Reorder the terms: 4p + -36p + 3q + 63q + -18r = 0 Combine like terms: 4p + -36p = -32p -32p + 3q + 63q + -18r = 0 Combine like terms: 3q + 63q = 66q -32p + 66q + -18r = 0 Solving -32p + 66q + -18r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-66q' to each side of the equation. -32p + 66q + -66q + -18r = 0 + -66q Combine like terms: 66q + -66q = 0 -32p + 0 + -18r = 0 + -66q -32p + -18r = 0 + -66q Remove the zero: -32p + -18r = -66q Add '18r' to each side of the equation. -32p + -18r + 18r = -66q + 18r Combine like terms: -18r + 18r = 0 -32p + 0 = -66q + 18r -32p = -66q + 18r Divide each side by '-32'. p = 2.0625q + -0.5625r Simplifying p = 2.0625q + -0.5625r
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