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Simplifying 6.2p + 1.282 = 2.9 + 6.4p + -3.1 Reorder the terms: 1.282 + 6.2p = 2.9 + 6.4p + -3.1 Reorder the terms: 1.282 + 6.2p = 2.9 + -3.1 + 6.4p Combine like terms: 2.9 + -3.1 = -0.2 1.282 + 6.2p = -0.2 + 6.4p Solving 1.282 + 6.2p = -0.2 + 6.4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6.4p' to each side of the equation. 1.282 + 6.2p + -6.4p = -0.2 + 6.4p + -6.4p Combine like terms: 6.2p + -6.4p = -0.2p 1.282 + -0.2p = -0.2 + 6.4p + -6.4p Combine like terms: 6.4p + -6.4p = 0.0 1.282 + -0.2p = -0.2 + 0.0 1.282 + -0.2p = -0.2 Add '-1.282' to each side of the equation. 1.282 + -1.282 + -0.2p = -0.2 + -1.282 Combine like terms: 1.282 + -1.282 = 0.000 0.000 + -0.2p = -0.2 + -1.282 -0.2p = -0.2 + -1.282 Combine like terms: -0.2 + -1.282 = -1.482 -0.2p = -1.482 Divide each side by '-0.2'. p = 7.41 Simplifying p = 7.41
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