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Simplifying 0.7p + 4.6 = 0.2p Reorder the terms: 4.6 + 0.7p = 0.2p Solving 4.6 + 0.7p = 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. 4.6 + 0.7p + -0.2p = 0.2p + -0.2p Combine like terms: 0.7p + -0.2p = 0.5p 4.6 + 0.5p = 0.2p + -0.2p Combine like terms: 0.2p + -0.2p = 0.0 4.6 + 0.5p = 0.0 Add '-4.6' to each side of the equation. 4.6 + -4.6 + 0.5p = 0.0 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 0.5p = 0.0 + -4.6 0.5p = 0.0 + -4.6 Combine like terms: 0.0 + -4.6 = -4.6 0.5p = -4.6 Divide each side by '0.5'. p = -9.2 Simplifying p = -9.2
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