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Simplifying 12 + P = 40 + -3P Solving 12 + P = 40 + -3P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '3P' to each side of the equation. 12 + P + 3P = 40 + -3P + 3P Combine like terms: P + 3P = 4P 12 + 4P = 40 + -3P + 3P Combine like terms: -3P + 3P = 0 12 + 4P = 40 + 0 12 + 4P = 40 Add '-12' to each side of the equation. 12 + -12 + 4P = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 4P = 40 + -12 4P = 40 + -12 Combine like terms: 40 + -12 = 28 4P = 28 Divide each side by '4'. P = 7 Simplifying P = 7
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