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Simplifying 5n + 6 = 34 + -2n Reorder the terms: 6 + 5n = 34 + -2n Solving 6 + 5n = 34 + -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 = 34 + -2n + 2n Combine like terms: 5n + 2n = 7n 6 + 7n = 34 + -2n + 2n Combine like terms: -2n + 2n = 0 6 + 7n = 34 + 0 6 + 7n = 34 Add '-6' to each side of the equation. 6 + -6 + 7n = 34 + -6 Combine like terms: 6 + -6 = 0 0 + 7n = 34 + -6 7n = 34 + -6 Combine like terms: 34 + -6 = 28 7n = 28 Divide each side by '7'. n = 4 Simplifying n = 4
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