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Simplifying 0.7p + 4.6 = 1.3 + -0.2p Reorder the terms: 4.6 + 0.7p = 1.3 + -0.2p Solving 4.6 + 0.7p = 1.3 + -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 = 1.3 + -0.2p + 0.2p Combine like terms: 0.7p + 0.2p = 0.9p 4.6 + 0.9p = 1.3 + -0.2p + 0.2p Combine like terms: -0.2p + 0.2p = 0.0 4.6 + 0.9p = 1.3 + 0.0 4.6 + 0.9p = 1.3 Add '-4.6' to each side of the equation. 4.6 + -4.6 + 0.9p = 1.3 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 0.9p = 1.3 + -4.6 0.9p = 1.3 + -4.6 Combine like terms: 1.3 + -4.6 = -3.3 0.9p = -3.3 Divide each side by '0.9'. p = -3.666666667 Simplifying p = -3.666666667
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