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Simplifying 8.2p + -33.4 = 1.7 + -3.5p Reorder the terms: -33.4 + 8.2p = 1.7 + -3.5p Solving -33.4 + 8.2p = 1.7 + -3.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3.5p' to each side of the equation. -33.4 + 8.2p + 3.5p = 1.7 + -3.5p + 3.5p Combine like terms: 8.2p + 3.5p = 11.7p -33.4 + 11.7p = 1.7 + -3.5p + 3.5p Combine like terms: -3.5p + 3.5p = 0.0 -33.4 + 11.7p = 1.7 + 0.0 -33.4 + 11.7p = 1.7 Add '33.4' to each side of the equation. -33.4 + 33.4 + 11.7p = 1.7 + 33.4 Combine like terms: -33.4 + 33.4 = 0.0 0.0 + 11.7p = 1.7 + 33.4 11.7p = 1.7 + 33.4 Combine like terms: 1.7 + 33.4 = 35.1 11.7p = 35.1 Divide each side by '11.7'. p = 3 Simplifying p = 3
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