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Simplifying 0.5(102 + -1p) = 2.5p (102 * 0.5 + -1p * 0.5) = 2.5p (51 + -0.5p) = 2.5p Solving 51 + -0.5p = 2.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2.5p' to each side of the equation. 51 + -0.5p + -2.5p = 2.5p + -2.5p Combine like terms: -0.5p + -2.5p = -3p 51 + -3p = 2.5p + -2.5p Combine like terms: 2.5p + -2.5p = 0.0 51 + -3p = 0.0 Add '-51' to each side of the equation. 51 + -51 + -3p = 0.0 + -51 Combine like terms: 51 + -51 = 0 0 + -3p = 0.0 + -51 -3p = 0.0 + -51 Combine like terms: 0.0 + -51 = -51 -3p = -51 Divide each side by '-3'. p = 17 Simplifying p = 17
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