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Simplifying 6n + -8 = 3n + 7 Reorder the terms: -8 + 6n = 3n + 7 Reorder the terms: -8 + 6n = 7 + 3n Solving -8 + 6n = 7 + 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. -8 + 6n + -3n = 7 + 3n + -3n Combine like terms: 6n + -3n = 3n -8 + 3n = 7 + 3n + -3n Combine like terms: 3n + -3n = 0 -8 + 3n = 7 + 0 -8 + 3n = 7 Add '8' to each side of the equation. -8 + 8 + 3n = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 3n = 7 + 8 3n = 7 + 8 Combine like terms: 7 + 8 = 15 3n = 15 Divide each side by '3'. n = 5 Simplifying n = 5
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