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Simplifying -3.1 = 17.3p + -1.9(9p + 2) Reorder the terms: -3.1 = 17.3p + -1.9(2 + 9p) -3.1 = 17.3p + (2 * -1.9 + 9p * -1.9) -3.1 = 17.3p + (-3.8 + -17.1p) Reorder the terms: -3.1 = -3.8 + 17.3p + -17.1p Combine like terms: 17.3p + -17.1p = 0.2p -3.1 = -3.8 + 0.2p Solving -3.1 = -3.8 + 0.2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.2p' to each side of the equation. -3.1 + -0.2p = -3.8 + 0.2p + -0.2p Combine like terms: 0.2p + -0.2p = 0.0 -3.1 + -0.2p = -3.8 + 0.0 -3.1 + -0.2p = -3.8 Add '3.1' to each side of the equation. -3.1 + 3.1 + -0.2p = -3.8 + 3.1 Combine like terms: -3.1 + 3.1 = 0.0 0.0 + -0.2p = -3.8 + 3.1 -0.2p = -3.8 + 3.1 Combine like terms: -3.8 + 3.1 = -0.7 -0.2p = -0.7 Divide each side by '-0.2'. p = 3.5 Simplifying p = 3.5
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