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Simplifying 8 + 9n = 83 + -6n Solving 8 + 9n = 83 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 8 + 9n + 6n = 83 + -6n + 6n Combine like terms: 9n + 6n = 15n 8 + 15n = 83 + -6n + 6n Combine like terms: -6n + 6n = 0 8 + 15n = 83 + 0 8 + 15n = 83 Add '-8' to each side of the equation. 8 + -8 + 15n = 83 + -8 Combine like terms: 8 + -8 = 0 0 + 15n = 83 + -8 15n = 83 + -8 Combine like terms: 83 + -8 = 75 15n = 75 Divide each side by '15'. n = 5 Simplifying n = 5
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