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Simplifying 0.4p + 8.1 = 4.3p + -7.2 + -0.9p Reorder the terms: 8.1 + 0.4p = 4.3p + -7.2 + -0.9p Reorder the terms: 8.1 + 0.4p = -7.2 + 4.3p + -0.9p Combine like terms: 4.3p + -0.9p = 3.4p 8.1 + 0.4p = -7.2 + 3.4p Solving 8.1 + 0.4p = -7.2 + 3.4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3.4p' to each side of the equation. 8.1 + 0.4p + -3.4p = -7.2 + 3.4p + -3.4p Combine like terms: 0.4p + -3.4p = -3p 8.1 + -3p = -7.2 + 3.4p + -3.4p Combine like terms: 3.4p + -3.4p = 0.0 8.1 + -3p = -7.2 + 0.0 8.1 + -3p = -7.2 Add '-8.1' to each side of the equation. 8.1 + -8.1 + -3p = -7.2 + -8.1 Combine like terms: 8.1 + -8.1 = 0.0 0.0 + -3p = -7.2 + -8.1 -3p = -7.2 + -8.1 Combine like terms: -7.2 + -8.1 = -15.3 -3p = -15.3 Divide each side by '-3'. p = 5.1 Simplifying p = 5.1
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