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Simplifying -14.1p + -6.71 + 1.3p = 10.57 + -9.2p Reorder the terms: -6.71 + -14.1p + 1.3p = 10.57 + -9.2p Combine like terms: -14.1p + 1.3p = -12.8p -6.71 + -12.8p = 10.57 + -9.2p Solving -6.71 + -12.8p = 10.57 + -9.2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9.2p' to each side of the equation. -6.71 + -12.8p + 9.2p = 10.57 + -9.2p + 9.2p Combine like terms: -12.8p + 9.2p = -3.6p -6.71 + -3.6p = 10.57 + -9.2p + 9.2p Combine like terms: -9.2p + 9.2p = 0.0 -6.71 + -3.6p = 10.57 + 0.0 -6.71 + -3.6p = 10.57 Add '6.71' to each side of the equation. -6.71 + 6.71 + -3.6p = 10.57 + 6.71 Combine like terms: -6.71 + 6.71 = 0.00 0.00 + -3.6p = 10.57 + 6.71 -3.6p = 10.57 + 6.71 Combine like terms: 10.57 + 6.71 = 17.28 -3.6p = 17.28 Divide each side by '-3.6'. p = -4.8 Simplifying p = -4.8
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