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Simplifying p + (20 + -2n) + (11 + -0.5p) = 18 Remove parenthesis around (20 + -2n) p + 20 + -2n + (11 + -0.5p) = 18 Remove parenthesis around (11 + -0.5p) p + 20 + -2n + 11 + -0.5p = 18 Reorder the terms: 20 + 11 + -2n + p + -0.5p = 18 Combine like terms: 20 + 11 = 31 31 + -2n + p + -0.5p = 18 Combine like terms: p + -0.5p = 0.5p 31 + -2n + 0.5p = 18 Solving 31 + -2n + 0.5p = 18 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -2n + -31 + 0.5p = 18 + -31 Reorder the terms: 31 + -31 + -2n + 0.5p = 18 + -31 Combine like terms: 31 + -31 = 0 0 + -2n + 0.5p = 18 + -31 -2n + 0.5p = 18 + -31 Combine like terms: 18 + -31 = -13 -2n + 0.5p = -13 Add '-0.5p' to each side of the equation. -2n + 0.5p + -0.5p = -13 + -0.5p Combine like terms: 0.5p + -0.5p = 0.0 -2n + 0.0 = -13 + -0.5p -2n = -13 + -0.5p Divide each side by '-2'. n = 6.5 + 0.25p Simplifying n = 6.5 + 0.25p
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