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Simplifying 8p + -4q + -9 + 12q + -10r + 9 = 0 Reorder the terms: -9 + 9 + 8p + -4q + 12q + -10r = 0 Combine like terms: -9 + 9 = 0 0 + 8p + -4q + 12q + -10r = 0 8p + -4q + 12q + -10r = 0 Combine like terms: -4q + 12q = 8q 8p + 8q + -10r = 0 Solving 8p + 8q + -10r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8q' to each side of the equation. 8p + 8q + -8q + -10r = 0 + -8q Combine like terms: 8q + -8q = 0 8p + 0 + -10r = 0 + -8q 8p + -10r = 0 + -8q Remove the zero: 8p + -10r = -8q Add '10r' to each side of the equation. 8p + -10r + 10r = -8q + 10r Combine like terms: -10r + 10r = 0 8p + 0 = -8q + 10r 8p = -8q + 10r Divide each side by '8'. p = -1q + 1.25r Simplifying p = -1q + 1.25r
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