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Simplifying 0.7p + 4.6 = 7.3 + -1(0.2p) Reorder the terms: 4.6 + 0.7p = 7.3 + -1(0.2p) Remove parenthesis around (0.2p) 4.6 + 0.7p = 7.3 + -1 * 0.2p Multiply -1 * 0.2 4.6 + 0.7p = 7.3 + -0.2p Solving 4.6 + 0.7p = 7.3 + -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 = 7.3 + -0.2p + 0.2p Combine like terms: 0.7p + 0.2p = 0.9p 4.6 + 0.9p = 7.3 + -0.2p + 0.2p Combine like terms: -0.2p + 0.2p = 0.0 4.6 + 0.9p = 7.3 + 0.0 4.6 + 0.9p = 7.3 Add '-4.6' to each side of the equation. 4.6 + -4.6 + 0.9p = 7.3 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 0.9p = 7.3 + -4.6 0.9p = 7.3 + -4.6 Combine like terms: 7.3 + -4.6 = 2.7 0.9p = 2.7 Divide each side by '0.9'. p = 3 Simplifying p = 3
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