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Simplifying 5n + -2 + 7n = 10 + 6n Reorder the terms: -2 + 5n + 7n = 10 + 6n Combine like terms: 5n + 7n = 12n -2 + 12n = 10 + 6n Solving -2 + 12n = 10 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -2 + 12n + -6n = 10 + 6n + -6n Combine like terms: 12n + -6n = 6n -2 + 6n = 10 + 6n + -6n Combine like terms: 6n + -6n = 0 -2 + 6n = 10 + 0 -2 + 6n = 10 Add '2' to each side of the equation. -2 + 2 + 6n = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 6n = 10 + 2 6n = 10 + 2 Combine like terms: 10 + 2 = 12 6n = 12 Divide each side by '6'. n = 2 Simplifying n = 2
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