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Simplifying 0.5(102 + -1p) = 2.5 (102 * 0.5 + -1p * 0.5) = 2.5 (51 + -0.5p) = 2.5 Solving 51 + -0.5p = 2.5 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -0.5p = 2.5 + -51 Combine like terms: 51 + -51 = 0 0 + -0.5p = 2.5 + -51 -0.5p = 2.5 + -51 Combine like terms: 2.5 + -51 = -48.5 -0.5p = -48.5 Divide each side by '-0.5'. p = 97 Simplifying p = 97
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