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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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