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Simplifying 0.5p + 4 = (p + 2) Reorder the terms: 4 + 0.5p = (p + 2) Reorder the terms: 4 + 0.5p = (2 + p) Remove parenthesis around (2 + p) 4 + 0.5p = 2 + p Solving 4 + 0.5p = 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. 4 + 0.5p + -1p = 2 + p + -1p Combine like terms: 0.5p + -1p = -0.5p 4 + -0.5p = 2 + p + -1p Combine like terms: p + -1p = 0 4 + -0.5p = 2 + 0 4 + -0.5p = 2 Add '-4' to each side of the equation. 4 + -4 + -0.5p = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -0.5p = 2 + -4 -0.5p = 2 + -4 Combine like terms: 2 + -4 = -2 -0.5p = -2 Divide each side by '-0.5'. p = 4 Simplifying p = 4
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