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Simplifying 6n + 8 = 78 + -4n Reorder the terms: 8 + 6n = 78 + -4n Solving 8 + 6n = 78 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 8 + 6n + 4n = 78 + -4n + 4n Combine like terms: 6n + 4n = 10n 8 + 10n = 78 + -4n + 4n Combine like terms: -4n + 4n = 0 8 + 10n = 78 + 0 8 + 10n = 78 Add '-8' to each side of the equation. 8 + -8 + 10n = 78 + -8 Combine like terms: 8 + -8 = 0 0 + 10n = 78 + -8 10n = 78 + -8 Combine like terms: 78 + -8 = 70 10n = 70 Divide each side by '10'. n = 7 Simplifying n = 7
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