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Simplifying 6n + -3 + -4n = 3n + 7 + 5n Reorder the terms: -3 + 6n + -4n = 3n + 7 + 5n Combine like terms: 6n + -4n = 2n -3 + 2n = 3n + 7 + 5n Reorder the terms: -3 + 2n = 7 + 3n + 5n Combine like terms: 3n + 5n = 8n -3 + 2n = 7 + 8n Solving -3 + 2n = 7 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -3 + 2n + -8n = 7 + 8n + -8n Combine like terms: 2n + -8n = -6n -3 + -6n = 7 + 8n + -8n Combine like terms: 8n + -8n = 0 -3 + -6n = 7 + 0 -3 + -6n = 7 Add '3' to each side of the equation. -3 + 3 + -6n = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -6n = 7 + 3 -6n = 7 + 3 Combine like terms: 7 + 3 = 10 -6n = 10 Divide each side by '-6'. n = -1.666666667 Simplifying n = -1.666666667
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