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Simplifying 8n + 11n + -6 = 7n + 34 + -4n Reorder the terms: -6 + 8n + 11n = 7n + 34 + -4n Combine like terms: 8n + 11n = 19n -6 + 19n = 7n + 34 + -4n Reorder the terms: -6 + 19n = 34 + 7n + -4n Combine like terms: 7n + -4n = 3n -6 + 19n = 34 + 3n Solving -6 + 19n = 34 + 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. -6 + 19n + -3n = 34 + 3n + -3n Combine like terms: 19n + -3n = 16n -6 + 16n = 34 + 3n + -3n Combine like terms: 3n + -3n = 0 -6 + 16n = 34 + 0 -6 + 16n = 34 Add '6' to each side of the equation. -6 + 6 + 16n = 34 + 6 Combine like terms: -6 + 6 = 0 0 + 16n = 34 + 6 16n = 34 + 6 Combine like terms: 34 + 6 = 40 16n = 40 Divide each side by '16'. n = 2.5 Simplifying n = 2.5
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