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Simplifying 12 + 13 + 16 + 11 = 14n + -12 + -12n Combine like terms: 12 + 13 = 25 25 + 16 + 11 = 14n + -12 + -12n Combine like terms: 25 + 16 = 41 41 + 11 = 14n + -12 + -12n Combine like terms: 41 + 11 = 52 52 = 14n + -12 + -12n Reorder the terms: 52 = -12 + 14n + -12n Combine like terms: 14n + -12n = 2n 52 = -12 + 2n Solving 52 = -12 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 52 + -2n = -12 + 2n + -2n Combine like terms: 2n + -2n = 0 52 + -2n = -12 + 0 52 + -2n = -12 Add '-52' to each side of the equation. 52 + -52 + -2n = -12 + -52 Combine like terms: 52 + -52 = 0 0 + -2n = -12 + -52 -2n = -12 + -52 Combine like terms: -12 + -52 = -64 -2n = -64 Divide each side by '-2'. n = 32 Simplifying n = 32
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