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Simplifying 54 + -1p = 0.5(50 + -1p) 54 + -1p = (50 * 0.5 + -1p * 0.5) 54 + -1p = (25 + -0.5p) Solving 54 + -1p = 25 + -0.5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '0.5p' to each side of the equation. 54 + -1p + 0.5p = 25 + -0.5p + 0.5p Combine like terms: -1p + 0.5p = -0.5p 54 + -0.5p = 25 + -0.5p + 0.5p Combine like terms: -0.5p + 0.5p = 0.0 54 + -0.5p = 25 + 0.0 54 + -0.5p = 25 Add '-54' to each side of the equation. 54 + -54 + -0.5p = 25 + -54 Combine like terms: 54 + -54 = 0 0 + -0.5p = 25 + -54 -0.5p = 25 + -54 Combine like terms: 25 + -54 = -29 -0.5p = -29 Divide each side by '-0.5'. p = 58 Simplifying p = 58
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