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Simplifying 6 + 10n + -6n = 1n + 1 Combine like terms: 10n + -6n = 4n 6 + 4n = 1n + 1 Reorder the terms: 6 + 4n = 1 + 1n Solving 6 + 4n = 1 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 6 + 4n + -1n = 1 + 1n + -1n Combine like terms: 4n + -1n = 3n 6 + 3n = 1 + 1n + -1n Combine like terms: 1n + -1n = 0 6 + 3n = 1 + 0 6 + 3n = 1 Add '-6' to each side of the equation. 6 + -6 + 3n = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 3n = 1 + -6 3n = 1 + -6 Combine like terms: 1 + -6 = -5 3n = -5 Divide each side by '3'. n = -1.666666667 Simplifying n = -1.666666667
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