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Simplifying 5n + 6 = 30 + -1n Reorder the terms: 6 + 5n = 30 + -1n Solving 6 + 5n = 30 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 6 + 5n + n = 30 + -1n + n Combine like terms: 5n + n = 6n 6 + 6n = 30 + -1n + n Combine like terms: -1n + n = 0 6 + 6n = 30 + 0 6 + 6n = 30 Add '-6' to each side of the equation. 6 + -6 + 6n = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 6n = 30 + -6 6n = 30 + -6 Combine like terms: 30 + -6 = 24 6n = 24 Divide each side by '6'. n = 4 Simplifying n = 4
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