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Simplifying 3(6p + 4y + -7q) = 0 Reorder the terms: 3(6p + -7q + 4y) = 0 (6p * 3 + -7q * 3 + 4y * 3) = 0 (18p + -21q + 12y) = 0 Solving 18p + -21q + 12y = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '21q' to each side of the equation. 18p + -21q + 21q + 12y = 0 + 21q Combine like terms: -21q + 21q = 0 18p + 0 + 12y = 0 + 21q 18p + 12y = 0 + 21q Remove the zero: 18p + 12y = 21q Add '-12y' to each side of the equation. 18p + 12y + -12y = 21q + -12y Combine like terms: 12y + -12y = 0 18p + 0 = 21q + -12y 18p = 21q + -12y Divide each side by '18'. p = 1.166666667q + -0.6666666667y Simplifying p = 1.166666667q + -0.6666666667y
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