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Simplifying n + -4 + 12 + 5n = 4n + 6 Reorder the terms: -4 + 12 + n + 5n = 4n + 6 Combine like terms: -4 + 12 = 8 8 + n + 5n = 4n + 6 Combine like terms: n + 5n = 6n 8 + 6n = 4n + 6 Reorder the terms: 8 + 6n = 6 + 4n Solving 8 + 6n = 6 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 8 + 6n + -4n = 6 + 4n + -4n Combine like terms: 6n + -4n = 2n 8 + 2n = 6 + 4n + -4n Combine like terms: 4n + -4n = 0 8 + 2n = 6 + 0 8 + 2n = 6 Add '-8' to each side of the equation. 8 + -8 + 2n = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 2n = 6 + -8 2n = 6 + -8 Combine like terms: 6 + -8 = -2 2n = -2 Divide each side by '2'. n = -1 Simplifying n = -1
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