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Simplifying 5n + -6 = 8 + -2n Reorder the terms: -6 + 5n = 8 + -2n Solving -6 + 5n = 8 + -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 = 8 + -2n + 2n Combine like terms: 5n + 2n = 7n -6 + 7n = 8 + -2n + 2n Combine like terms: -2n + 2n = 0 -6 + 7n = 8 + 0 -6 + 7n = 8 Add '6' to each side of the equation. -6 + 6 + 7n = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 7n = 8 + 6 7n = 8 + 6 Combine like terms: 8 + 6 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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