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Simplifying 6 + 10n + -1 = 7n + 41 + -3n Reorder the terms: 6 + -1 + 10n = 7n + 41 + -3n Combine like terms: 6 + -1 = 5 5 + 10n = 7n + 41 + -3n Reorder the terms: 5 + 10n = 41 + 7n + -3n Combine like terms: 7n + -3n = 4n 5 + 10n = 41 + 4n Solving 5 + 10n = 41 + 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. 5 + 10n + -4n = 41 + 4n + -4n Combine like terms: 10n + -4n = 6n 5 + 6n = 41 + 4n + -4n Combine like terms: 4n + -4n = 0 5 + 6n = 41 + 0 5 + 6n = 41 Add '-5' to each side of the equation. 5 + -5 + 6n = 41 + -5 Combine like terms: 5 + -5 = 0 0 + 6n = 41 + -5 6n = 41 + -5 Combine like terms: 41 + -5 = 36 6n = 36 Divide each side by '6'. n = 6 Simplifying n = 6
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