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Simplifying (14 + -2p) + (20 + -2n) + p = 12 Remove parenthesis around (14 + -2p) 14 + -2p + (20 + -2n) + p = 12 Remove parenthesis around (20 + -2n) 14 + -2p + 20 + -2n + p = 12 Reorder the terms: 14 + 20 + -2n + -2p + p = 12 Combine like terms: 14 + 20 = 34 34 + -2n + -2p + p = 12 Combine like terms: -2p + p = -1p 34 + -2n + -1p = 12 Solving 34 + -2n + -1p = 12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -2n + -34 + -1p = 12 + -34 Reorder the terms: 34 + -34 + -2n + -1p = 12 + -34 Combine like terms: 34 + -34 = 0 0 + -2n + -1p = 12 + -34 -2n + -1p = 12 + -34 Combine like terms: 12 + -34 = -22 -2n + -1p = -22 Add 'p' to each side of the equation. -2n + -1p + p = -22 + p Combine like terms: -1p + p = 0 -2n + 0 = -22 + p -2n = -22 + p Divide each side by '-2'. n = 11 + -0.5p Simplifying n = 11 + -0.5p
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