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Simplifying 0.4 + 0.2 = 4.2p + -7.8 + -0.6 Combine like terms: 0.4 + 0.2 = 0.6 0.6 = 4.2p + -7.8 + -0.6 Reorder the terms: 0.6 = -7.8 + -0.6 + 4.2p Combine like terms: -7.8 + -0.6 = -8.4 0.6 = -8.4 + 4.2p Solving 0.6 = -8.4 + 4.2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4.2p' to each side of the equation. 0.6 + -4.2p = -8.4 + 4.2p + -4.2p Combine like terms: 4.2p + -4.2p = 0.0 0.6 + -4.2p = -8.4 + 0.0 0.6 + -4.2p = -8.4 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -4.2p = -8.4 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -4.2p = -8.4 + -0.6 -4.2p = -8.4 + -0.6 Combine like terms: -8.4 + -0.6 = -9 -4.2p = -9 Divide each side by '-4.2'. p = 2.142857143 Simplifying p = 2.142857143
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