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Simplifying 4 + -3P + -1(2P + 7) = 32 Reorder the terms: 4 + -3P + -1(7 + 2P) = 32 4 + -3P + (7 * -1 + 2P * -1) = 32 4 + -3P + (-7 + -2P) = 32 Reorder the terms: 4 + -7 + -3P + -2P = 32 Combine like terms: 4 + -7 = -3 -3 + -3P + -2P = 32 Combine like terms: -3P + -2P = -5P -3 + -5P = 32 Solving -3 + -5P = 32 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5P = 32 + 3 Combine like terms: -3 + 3 = 0 0 + -5P = 32 + 3 -5P = 32 + 3 Combine like terms: 32 + 3 = 35 -5P = 35 Divide each side by '-5'. P = -7 Simplifying P = -7
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