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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 = 3p 34 + 2n + 3p = 12 Solving 34 + 2n + 3p = 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 + 3p = 12 + -34 Reorder the terms: 34 + -34 + 2n + 3p = 12 + -34 Combine like terms: 34 + -34 = 0 0 + 2n + 3p = 12 + -34 2n + 3p = 12 + -34 Combine like terms: 12 + -34 = -22 2n + 3p = -22 Add '-3p' to each side of the equation. 2n + 3p + -3p = -22 + -3p Combine like terms: 3p + -3p = 0 2n + 0 = -22 + -3p 2n = -22 + -3p Divide each side by '2'. n = -11 + -1.5p Simplifying n = -11 + -1.5p
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