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Simplifying n + 6 = 4n + -12 Reorder the terms: 6 + n = 4n + -12 Reorder the terms: 6 + n = -12 + 4n Solving 6 + n = -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 + n + -4n = -12 + 4n + -4n Combine like terms: n + -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 = -18 -3n = -18 Divide each side by '-3'. n = 6 Simplifying n = 6
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