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Simplifying -4n + -12 = 2 + 5n + 4 Reorder the terms: -12 + -4n = 2 + 5n + 4 Reorder the terms: -12 + -4n = 2 + 4 + 5n Combine like terms: 2 + 4 = 6 -12 + -4n = 6 + 5n Solving -12 + -4n = 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 + -4n + -5n = 6 + 5n + -5n Combine like terms: -4n + -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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