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Simplifying -7.9 + 11.69 = -4.7(6.7 + -1.7p) + 5.7p Combine like terms: -7.9 + 11.69 = 3.79 3.79 = -4.7(6.7 + -1.7p) + 5.7p 3.79 = (6.7 * -4.7 + -1.7p * -4.7) + 5.7p 3.79 = (-31.49 + 7.99p) + 5.7p Combine like terms: 7.99p + 5.7p = 13.69p 3.79 = -31.49 + 13.69p Solving 3.79 = -31.49 + 13.69p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-13.69p' to each side of the equation. 3.79 + -13.69p = -31.49 + 13.69p + -13.69p Combine like terms: 13.69p + -13.69p = 0.00 3.79 + -13.69p = -31.49 + 0.00 3.79 + -13.69p = -31.49 Add '-3.79' to each side of the equation. 3.79 + -3.79 + -13.69p = -31.49 + -3.79 Combine like terms: 3.79 + -3.79 = 0.00 0.00 + -13.69p = -31.49 + -3.79 -13.69p = -31.49 + -3.79 Combine like terms: -31.49 + -3.79 = -35.28 -13.69p = -35.28 Divide each side by '-13.69'. p = 2.57706355 Simplifying p = 2.57706355
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