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Simplifying 17.61 + 12.71 + 2.8p = 9(-1.9p + -14.32) Combine like terms: 17.61 + 12.71 = 30.32 30.32 + 2.8p = 9(-1.9p + -14.32) Reorder the terms: 30.32 + 2.8p = 9(-14.32 + -1.9p) 30.32 + 2.8p = (-14.32 * 9 + -1.9p * 9) 30.32 + 2.8p = (-128.88 + -17.1p) Solving 30.32 + 2.8p = -128.88 + -17.1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '17.1p' to each side of the equation. 30.32 + 2.8p + 17.1p = -128.88 + -17.1p + 17.1p Combine like terms: 2.8p + 17.1p = 19.9p 30.32 + 19.9p = -128.88 + -17.1p + 17.1p Combine like terms: -17.1p + 17.1p = 0.0 30.32 + 19.9p = -128.88 + 0.0 30.32 + 19.9p = -128.88 Add '-30.32' to each side of the equation. 30.32 + -30.32 + 19.9p = -128.88 + -30.32 Combine like terms: 30.32 + -30.32 = 0.00 0.00 + 19.9p = -128.88 + -30.32 19.9p = -128.88 + -30.32 Combine like terms: -128.88 + -30.32 = -159.2 19.9p = -159.2 Divide each side by '19.9'. p = -8 Simplifying p = -8
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