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Simplifying 5P + 7 + -3P = 17 + -9P + 12 Reorder the terms: 7 + 5P + -3P = 17 + -9P + 12 Combine like terms: 5P + -3P = 2P 7 + 2P = 17 + -9P + 12 Reorder the terms: 7 + 2P = 17 + 12 + -9P Combine like terms: 17 + 12 = 29 7 + 2P = 29 + -9P Solving 7 + 2P = 29 + -9P 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. 7 + 2P + 9P = 29 + -9P + 9P Combine like terms: 2P + 9P = 11P 7 + 11P = 29 + -9P + 9P Combine like terms: -9P + 9P = 0 7 + 11P = 29 + 0 7 + 11P = 29 Add '-7' to each side of the equation. 7 + -7 + 11P = 29 + -7 Combine like terms: 7 + -7 = 0 0 + 11P = 29 + -7 11P = 29 + -7 Combine like terms: 29 + -7 = 22 11P = 22 Divide each side by '11'. P = 2 Simplifying P = 2
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