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Simplifying 12(7.083333333 + -0.75p + -0.6666666667t) + 9P + 8t = 85 (7.083333333 * 12 + -0.75p * 12 + -0.6666666667t * 12) + 9P + 8t = 85 (85 + -9p + -8t) + 9P + 8t = 85 Reorder the terms: 85 + 9P + -9p + -8t + 8t = 85 Combine like terms: -8t + 8t = 0 85 + 9P + -9p + 0 = 85 85 + 9P + -9p = 85 Add '-85' to each side of the equation. 85 + 9P + -85 + -9p = 85 + -85 Reorder the terms: 85 + -85 + 9P + -9p = 85 + -85 Combine like terms: 85 + -85 = 0 0 + 9P + -9p = 85 + -85 9P + -9p = 85 + -85 Combine like terms: 85 + -85 = 0 9P + -9p = 0 Solving 9P + -9p = 0 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '9p' to each side of the equation. 9P + -9p + 9p = 0 + 9p Combine like terms: -9p + 9p = 0 9P + 0 = 0 + 9p 9P = 0 + 9p Remove the zero: 9P = 9p Divide each side by '9'. P = p Simplifying P = p
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