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Simplifying 6n + -19 = 3n + 5 Reorder the terms: -19 + 6n = 3n + 5 Reorder the terms: -19 + 6n = 5 + 3n Solving -19 + 6n = 5 + 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. -19 + 6n + -3n = 5 + 3n + -3n Combine like terms: 6n + -3n = 3n -19 + 3n = 5 + 3n + -3n Combine like terms: 3n + -3n = 0 -19 + 3n = 5 + 0 -19 + 3n = 5 Add '19' to each side of the equation. -19 + 19 + 3n = 5 + 19 Combine like terms: -19 + 19 = 0 0 + 3n = 5 + 19 3n = 5 + 19 Combine like terms: 5 + 19 = 24 3n = 24 Divide each side by '3'. n = 8 Simplifying n = 8
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