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Simplifying 0.4p + -3.6 = 4.3p + -9.0 + -3.6 Reorder the terms: -3.6 + 0.4p = 4.3p + -9.0 + -3.6 Reorder the terms: -3.6 + 0.4p = -9.0 + -3.6 + 4.3p Combine like terms: -9.0 + -3.6 = -12.6 -3.6 + 0.4p = -12.6 + 4.3p Solving -3.6 + 0.4p = -12.6 + 4.3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4.3p' to each side of the equation. -3.6 + 0.4p + -4.3p = -12.6 + 4.3p + -4.3p Combine like terms: 0.4p + -4.3p = -3.9p -3.6 + -3.9p = -12.6 + 4.3p + -4.3p Combine like terms: 4.3p + -4.3p = 0.0 -3.6 + -3.9p = -12.6 + 0.0 -3.6 + -3.9p = -12.6 Add '3.6' to each side of the equation. -3.6 + 3.6 + -3.9p = -12.6 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + -3.9p = -12.6 + 3.6 -3.9p = -12.6 + 3.6 Combine like terms: -12.6 + 3.6 = -9 -3.9p = -9 Divide each side by '-3.9'. p = 2.307692308 Simplifying p = 2.307692308
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