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Simplifying 8p + -5q + -7 + 7q + -2r + 12 = 0 Reorder the terms: -7 + 12 + 8p + -5q + 7q + -2r = 0 Combine like terms: -7 + 12 = 5 5 + 8p + -5q + 7q + -2r = 0 Combine like terms: -5q + 7q = 2q 5 + 8p + 2q + -2r = 0 Solving 5 + 8p + 2q + -2r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 8p + 2q + -5 + -2r = 0 + -5 Reorder the terms: 5 + -5 + 8p + 2q + -2r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8p + 2q + -2r = 0 + -5 8p + 2q + -2r = 0 + -5 Combine like terms: 0 + -5 = -5 8p + 2q + -2r = -5 Add '-2q' to each side of the equation. 8p + 2q + -2q + -2r = -5 + -2q Combine like terms: 2q + -2q = 0 8p + 0 + -2r = -5 + -2q 8p + -2r = -5 + -2q Add '2r' to each side of the equation. 8p + -2r + 2r = -5 + -2q + 2r Combine like terms: -2r + 2r = 0 8p + 0 = -5 + -2q + 2r 8p = -5 + -2q + 2r Divide each side by '8'. p = -0.625 + -0.25q + 0.25r Simplifying p = -0.625 + -0.25q + 0.25r
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