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Simplifying 0.5p + 2.4 + -1.6p + -3.2 + -0.4p = 0 Reorder the terms: 2.4 + -3.2 + 0.5p + -1.6p + -0.4p = 0 Combine like terms: 2.4 + -3.2 = -0.8 -0.8 + 0.5p + -1.6p + -0.4p = 0 Combine like terms: 0.5p + -1.6p = -1.1p -0.8 + -1.1p + -0.4p = 0 Combine like terms: -1.1p + -0.4p = -1.5p -0.8 + -1.5p = 0 Solving -0.8 + -1.5p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '0.8' to each side of the equation. -0.8 + 0.8 + -1.5p = 0 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + -1.5p = 0 + 0.8 -1.5p = 0 + 0.8 Combine like terms: 0 + 0.8 = 0.8 -1.5p = 0.8 Divide each side by '-1.5'. p = -0.5333333333 Simplifying p = -0.5333333333
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