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Simplifying 6p + 5q + -7(6p + -3q + 7r) = 0 6p + 5q + (6p * -7 + -3q * -7 + 7r * -7) = 0 6p + 5q + (-42p + 21q + -49r) = 0 Reorder the terms: 6p + -42p + 5q + 21q + -49r = 0 Combine like terms: 6p + -42p = -36p -36p + 5q + 21q + -49r = 0 Combine like terms: 5q + 21q = 26q -36p + 26q + -49r = 0 Solving -36p + 26q + -49r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-26q' to each side of the equation. -36p + 26q + -26q + -49r = 0 + -26q Combine like terms: 26q + -26q = 0 -36p + 0 + -49r = 0 + -26q -36p + -49r = 0 + -26q Remove the zero: -36p + -49r = -26q Add '49r' to each side of the equation. -36p + -49r + 49r = -26q + 49r Combine like terms: -49r + 49r = 0 -36p + 0 = -26q + 49r -36p = -26q + 49r Divide each side by '-36'. p = 0.7222222222q + -1.361111111r Simplifying p = 0.7222222222q + -1.361111111r
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