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Simplifying -39.2(p + -10.2) + 14.25 = 18.54(1 + -0.88p) Reorder the terms: -39.2(-10.2 + p) + 14.25 = 18.54(1 + -0.88p) (-10.2 * -39.2 + p * -39.2) + 14.25 = 18.54(1 + -0.88p) (399.84 + -39.2p) + 14.25 = 18.54(1 + -0.88p) Reorder the terms: 399.84 + 14.25 + -39.2p = 18.54(1 + -0.88p) Combine like terms: 399.84 + 14.25 = 414.09 414.09 + -39.2p = 18.54(1 + -0.88p) 414.09 + -39.2p = (1 * 18.54 + -0.88p * 18.54) 414.09 + -39.2p = (18.54 + -16.3152p) Solving 414.09 + -39.2p = 18.54 + -16.3152p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16.3152p' to each side of the equation. 414.09 + -39.2p + 16.3152p = 18.54 + -16.3152p + 16.3152p Combine like terms: -39.2p + 16.3152p = -22.8848p 414.09 + -22.8848p = 18.54 + -16.3152p + 16.3152p Combine like terms: -16.3152p + 16.3152p = 0.0000 414.09 + -22.8848p = 18.54 + 0.0000 414.09 + -22.8848p = 18.54 Add '-414.09' to each side of the equation. 414.09 + -414.09 + -22.8848p = 18.54 + -414.09 Combine like terms: 414.09 + -414.09 = 0.00 0.00 + -22.8848p = 18.54 + -414.09 -22.8848p = 18.54 + -414.09 Combine like terms: 18.54 + -414.09 = -395.55 -22.8848p = -395.55 Divide each side by '-22.8848'. p = 17.28439838 Simplifying p = 17.28439838
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