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Simplifying -2n + 6n + -12 = n + 6 Reorder the terms: -12 + -2n + 6n = n + 6 Combine like terms: -2n + 6n = 4n -12 + 4n = n + 6 Reorder the terms: -12 + 4n = 6 + n Solving -12 + 4n = 6 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -12 + 4n + -1n = 6 + n + -1n Combine like terms: 4n + -1n = 3n -12 + 3n = 6 + n + -1n Combine like terms: n + -1n = 0 -12 + 3n = 6 + 0 -12 + 3n = 6 Add '12' to each side of the equation. -12 + 12 + 3n = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 3n = 6 + 12 3n = 6 + 12 Combine like terms: 6 + 12 = 18 3n = 18 Divide each side by '3'. n = 6 Simplifying n = 6
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