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