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Simplifying 12p + -5q + -10 + 11q + -2r + 10 = 0 Reorder the terms: -10 + 10 + 12p + -5q + 11q + -2r = 0 Combine like terms: -10 + 10 = 0 0 + 12p + -5q + 11q + -2r = 0 12p + -5q + 11q + -2r = 0 Combine like terms: -5q + 11q = 6q 12p + 6q + -2r = 0 Solving 12p + 6q + -2r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6q' to each side of the equation. 12p + 6q + -6q + -2r = 0 + -6q Combine like terms: 6q + -6q = 0 12p + 0 + -2r = 0 + -6q 12p + -2r = 0 + -6q Remove the zero: 12p + -2r = -6q Add '2r' to each side of the equation. 12p + -2r + 2r = -6q + 2r Combine like terms: -2r + 2r = 0 12p + 0 = -6q + 2r 12p = -6q + 2r Divide each side by '12'. p = -0.5q + 0.1666666667r Simplifying p = -0.5q + 0.1666666667r
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