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Simplifying 7n + -6 = 12 + 5n Reorder the terms: -6 + 7n = 12 + 5n Solving -6 + 7n = 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 + 7n + -5n = 12 + 5n + -5n Combine like terms: 7n + -5n = 2n -6 + 2n = 12 + 5n + -5n Combine like terms: 5n + -5n = 0 -6 + 2n = 12 + 0 -6 + 2n = 12 Add '6' to each side of the equation. -6 + 6 + 2n = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 2n = 12 + 6 2n = 12 + 6 Combine like terms: 12 + 6 = 18 2n = 18 Divide each side by '2'. n = 9 Simplifying n = 9
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