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Simplifying 12 + -1n = 14 + 2 + n Combine like terms: 14 + 2 = 16 12 + -1n = 16 + n Solving 12 + -1n = 16 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 12 + -1n + -1n = 16 + n + -1n Combine like terms: -1n + -1n = -2n 12 + -2n = 16 + n + -1n Combine like terms: n + -1n = 0 12 + -2n = 16 + 0 12 + -2n = 16 Add '-12' to each side of the equation. 12 + -12 + -2n = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -2n = 16 + -12 -2n = 16 + -12 Combine like terms: 16 + -12 = 4 -2n = 4 Divide each side by '-2'. n = -2 Simplifying n = -2
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