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Simplifying 5n + -6 = 2n + 12 Reorder the terms: -6 + 5n = 2n + 12 Reorder the terms: -6 + 5n = 12 + 2n Solving -6 + 5n = 12 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -6 + 5n + -2n = 12 + 2n + -2n Combine like terms: 5n + -2n = 3n -6 + 3n = 12 + 2n + -2n Combine like terms: 2n + -2n = 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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