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Simplifying 8p + -5q + -12 + 11q + -10r + 2 = 0 Reorder the terms: -12 + 2 + 8p + -5q + 11q + -10r = 0 Combine like terms: -12 + 2 = -10 -10 + 8p + -5q + 11q + -10r = 0 Combine like terms: -5q + 11q = 6q -10 + 8p + 6q + -10r = 0 Solving -10 + 8p + 6q + -10r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 8p + 6q + 10 + -10r = 0 + 10 Reorder the terms: -10 + 10 + 8p + 6q + -10r = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 8p + 6q + -10r = 0 + 10 8p + 6q + -10r = 0 + 10 Combine like terms: 0 + 10 = 10 8p + 6q + -10r = 10 Add '-6q' to each side of the equation. 8p + 6q + -6q + -10r = 10 + -6q Combine like terms: 6q + -6q = 0 8p + 0 + -10r = 10 + -6q 8p + -10r = 10 + -6q Add '10r' to each side of the equation. 8p + -10r + 10r = 10 + -6q + 10r Combine like terms: -10r + 10r = 0 8p + 0 = 10 + -6q + 10r 8p = 10 + -6q + 10r Divide each side by '8'. p = 1.25 + -0.75q + 1.25r Simplifying p = 1.25 + -0.75q + 1.25r
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