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Simplifying 1n + 6 = 5n + 12 + -1n Reorder the terms: 6 + 1n = 5n + 12 + -1n Reorder the terms: 6 + 1n = 12 + 5n + -1n Combine like terms: 5n + -1n = 4n 6 + 1n = 12 + 4n Solving 6 + 1n = 12 + 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. 6 + 1n + -4n = 12 + 4n + -4n Combine like terms: 1n + -4n = -3n 6 + -3n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 6 + -3n = 12 + 0 6 + -3n = 12 Add '-6' to each side of the equation. 6 + -6 + -3n = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -3n = 12 + -6 -3n = 12 + -6 Combine like terms: 12 + -6 = 6 -3n = 6 Divide each side by '-3'. n = -2 Simplifying n = -2
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