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Simplifying p + (0.5p + 3) = 21 Reorder the terms: p + (3 + 0.5p) = 21 Remove parenthesis around (3 + 0.5p) p + 3 + 0.5p = 21 Reorder the terms: 3 + p + 0.5p = 21 Combine like terms: p + 0.5p = 1.5p 3 + 1.5p = 21 Solving 3 + 1.5p = 21 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1.5p = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 1.5p = 21 + -3 1.5p = 21 + -3 Combine like terms: 21 + -3 = 18 1.5p = 18 Divide each side by '1.5'. p = 12 Simplifying p = 12
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