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Simplifying n + -6 = 2n + 12 + 3n Reorder the terms: -6 + n = 2n + 12 + 3n Reorder the terms: -6 + n = 12 + 2n + 3n Combine like terms: 2n + 3n = 5n -6 + n = 12 + 5n Solving -6 + n = 12 + 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. -6 + n + -5n = 12 + 5n + -5n Combine like terms: n + -5n = -4n -6 + -4n = 12 + 5n + -5n Combine like terms: 5n + -5n = 0 -6 + -4n = 12 + 0 -6 + -4n = 12 Add '6' to each side of the equation. -6 + 6 + -4n = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -4n = 12 + 6 -4n = 12 + 6 Combine like terms: 12 + 6 = 18 -4n = 18 Divide each side by '-4'. n = -4.5 Simplifying n = -4.5
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