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Simplifying 1.2p + 15.7 + 12p = 7.8p + -18.32 Reorder the terms: 15.7 + 1.2p + 12p = 7.8p + -18.32 Combine like terms: 1.2p + 12p = 13.2p 15.7 + 13.2p = 7.8p + -18.32 Reorder the terms: 15.7 + 13.2p = -18.32 + 7.8p Solving 15.7 + 13.2p = -18.32 + 7.8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7.8p' to each side of the equation. 15.7 + 13.2p + -7.8p = -18.32 + 7.8p + -7.8p Combine like terms: 13.2p + -7.8p = 5.4p 15.7 + 5.4p = -18.32 + 7.8p + -7.8p Combine like terms: 7.8p + -7.8p = 0.0 15.7 + 5.4p = -18.32 + 0.0 15.7 + 5.4p = -18.32 Add '-15.7' to each side of the equation. 15.7 + -15.7 + 5.4p = -18.32 + -15.7 Combine like terms: 15.7 + -15.7 = 0.0 0.0 + 5.4p = -18.32 + -15.7 5.4p = -18.32 + -15.7 Combine like terms: -18.32 + -15.7 = -34.02 5.4p = -34.02 Divide each side by '5.4'. p = -6.3 Simplifying p = -6.3
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