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Simplifying 0.5p + 1.2 = p + 3.2 Reorder the terms: 1.2 + 0.5p = p + 3.2 Reorder the terms: 1.2 + 0.5p = 3.2 + p Solving 1.2 + 0.5p = 3.2 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 1.2 + 0.5p + -1p = 3.2 + p + -1p Combine like terms: 0.5p + -1p = -0.5p 1.2 + -0.5p = 3.2 + p + -1p Combine like terms: p + -1p = 0 1.2 + -0.5p = 3.2 + 0 1.2 + -0.5p = 3.2 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -0.5p = 3.2 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.5p = 3.2 + -1.2 -0.5p = 3.2 + -1.2 Combine like terms: 3.2 + -1.2 = 2 -0.5p = 2 Divide each side by '-0.5'. p = -4 Simplifying p = -4
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