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Simplifying 12 + -1(n + -6) + 4n + -2 = n + 14 Reorder the terms: 12 + -1(-6 + n) + 4n + -2 = n + 14 12 + (-6 * -1 + n * -1) + 4n + -2 = n + 14 12 + (6 + -1n) + 4n + -2 = n + 14 Reorder the terms: 12 + 6 + -2 + -1n + 4n = n + 14 Combine like terms: 12 + 6 = 18 18 + -2 + -1n + 4n = n + 14 Combine like terms: 18 + -2 = 16 16 + -1n + 4n = n + 14 Combine like terms: -1n + 4n = 3n 16 + 3n = n + 14 Reorder the terms: 16 + 3n = 14 + n Solving 16 + 3n = 14 + 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. 16 + 3n + -1n = 14 + n + -1n Combine like terms: 3n + -1n = 2n 16 + 2n = 14 + n + -1n Combine like terms: n + -1n = 0 16 + 2n = 14 + 0 16 + 2n = 14 Add '-16' to each side of the equation. 16 + -16 + 2n = 14 + -16 Combine like terms: 16 + -16 = 0 0 + 2n = 14 + -16 2n = 14 + -16 Combine like terms: 14 + -16 = -2 2n = -2 Divide each side by '2'. n = -1 Simplifying n = -1
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