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Simplifying 0.9p + -19 + -1p = 2p + -10 + -0.4p Reorder the terms: -19 + 0.9p + -1p = 2p + -10 + -0.4p Combine like terms: 0.9p + -1p = -0.1p -19 + -0.1p = 2p + -10 + -0.4p Reorder the terms: -19 + -0.1p = -10 + 2p + -0.4p Combine like terms: 2p + -0.4p = 1.6p -19 + -0.1p = -10 + 1.6p Solving -19 + -0.1p = -10 + 1.6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.6p' to each side of the equation. -19 + -0.1p + -1.6p = -10 + 1.6p + -1.6p Combine like terms: -0.1p + -1.6p = -1.7p -19 + -1.7p = -10 + 1.6p + -1.6p Combine like terms: 1.6p + -1.6p = 0.0 -19 + -1.7p = -10 + 0.0 -19 + -1.7p = -10 Add '19' to each side of the equation. -19 + 19 + -1.7p = -10 + 19 Combine like terms: -19 + 19 = 0 0 + -1.7p = -10 + 19 -1.7p = -10 + 19 Combine like terms: -10 + 19 = 9 -1.7p = 9 Divide each side by '-1.7'. p = -5.294117647 Simplifying p = -5.294117647
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