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Simplifying 14n + 12 = 5n + -6 Reorder the terms: 12 + 14n = 5n + -6 Reorder the terms: 12 + 14n = -6 + 5n Solving 12 + 14n = -6 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 12 + 14n + -5n = -6 + 5n + -5n Combine like terms: 14n + -5n = 9n 12 + 9n = -6 + 5n + -5n Combine like terms: 5n + -5n = 0 12 + 9n = -6 + 0 12 + 9n = -6 Add '-12' to each side of the equation. 12 + -12 + 9n = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 9n = -6 + -12 9n = -6 + -12 Combine like terms: -6 + -12 = -18 9n = -18 Divide each side by '9'. n = -2 Simplifying n = -2
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