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Simplifying 5n + -30 + n = 3n + 6 Reorder the terms: -30 + 5n + n = 3n + 6 Combine like terms: 5n + n = 6n -30 + 6n = 3n + 6 Reorder the terms: -30 + 6n = 6 + 3n Solving -30 + 6n = 6 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -30 + 6n + -3n = 6 + 3n + -3n Combine like terms: 6n + -3n = 3n -30 + 3n = 6 + 3n + -3n Combine like terms: 3n + -3n = 0 -30 + 3n = 6 + 0 -30 + 3n = 6 Add '30' to each side of the equation. -30 + 30 + 3n = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 3n = 6 + 30 3n = 6 + 30 Combine like terms: 6 + 30 = 36 3n = 36 Divide each side by '3'. n = 12 Simplifying n = 12
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