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Simplifying 4p + 6q + -3(4p + -7q + 2r) = 0 4p + 6q + (4p * -3 + -7q * -3 + 2r * -3) = 0 4p + 6q + (-12p + 21q + -6r) = 0 Reorder the terms: 4p + -12p + 6q + 21q + -6r = 0 Combine like terms: 4p + -12p = -8p -8p + 6q + 21q + -6r = 0 Combine like terms: 6q + 21q = 27q -8p + 27q + -6r = 0 Solving -8p + 27q + -6r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-27q' to each side of the equation. -8p + 27q + -27q + -6r = 0 + -27q Combine like terms: 27q + -27q = 0 -8p + 0 + -6r = 0 + -27q -8p + -6r = 0 + -27q Remove the zero: -8p + -6r = -27q Add '6r' to each side of the equation. -8p + -6r + 6r = -27q + 6r Combine like terms: -6r + 6r = 0 -8p + 0 = -27q + 6r -8p = -27q + 6r Divide each side by '-8'. p = 3.375q + -0.75r Simplifying p = 3.375q + -0.75r
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