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Simplifying 6 + 7n + -5n = 1 + 8 + n + 4n Combine like terms: 7n + -5n = 2n 6 + 2n = 1 + 8 + n + 4n Combine like terms: 1 + 8 = 9 6 + 2n = 9 + n + 4n Combine like terms: n + 4n = 5n 6 + 2n = 9 + 5n Solving 6 + 2n = 9 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 6 + 2n + -5n = 9 + 5n + -5n Combine like terms: 2n + -5n = -3n 6 + -3n = 9 + 5n + -5n Combine like terms: 5n + -5n = 0 6 + -3n = 9 + 0 6 + -3n = 9 Add '-6' to each side of the equation. 6 + -6 + -3n = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -3n = 9 + -6 -3n = 9 + -6 Combine like terms: 9 + -6 = 3 -3n = 3 Divide each side by '-3'. n = -1 Simplifying n = -1
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