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Simplifying 3655 = 43(P + 40) Reorder the terms: 3655 = 43(40 + P) 3655 = (40 * 43 + P * 43) 3655 = (1720 + 43P) Solving 3655 = 1720 + 43P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-43P' to each side of the equation. 3655 + -43P = 1720 + 43P + -43P Combine like terms: 43P + -43P = 0 3655 + -43P = 1720 + 0 3655 + -43P = 1720 Add '-3655' to each side of the equation. 3655 + -3655 + -43P = 1720 + -3655 Combine like terms: 3655 + -3655 = 0 0 + -43P = 1720 + -3655 -43P = 1720 + -3655 Combine like terms: 1720 + -3655 = -1935 -43P = -1935 Divide each side by '-43'. P = 45 Simplifying P = 45
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