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Simplifying 4p + 9q + -8(4p + -4q + 7r) = 0 4p + 9q + (4p * -8 + -4q * -8 + 7r * -8) = 0 4p + 9q + (-32p + 32q + -56r) = 0 Reorder the terms: 4p + -32p + 9q + 32q + -56r = 0 Combine like terms: 4p + -32p = -28p -28p + 9q + 32q + -56r = 0 Combine like terms: 9q + 32q = 41q -28p + 41q + -56r = 0 Solving -28p + 41q + -56r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-41q' to each side of the equation. -28p + 41q + -41q + -56r = 0 + -41q Combine like terms: 41q + -41q = 0 -28p + 0 + -56r = 0 + -41q -28p + -56r = 0 + -41q Remove the zero: -28p + -56r = -41q Add '56r' to each side of the equation. -28p + -56r + 56r = -41q + 56r Combine like terms: -56r + 56r = 0 -28p + 0 = -41q + 56r -28p = -41q + 56r Divide each side by '-28'. p = 1.464285714q + -2r Simplifying p = 1.464285714q + -2r
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