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Simplifying 1 + -7n = 9 + n + -8 + 6n Reorder the terms: 1 + -7n = 9 + -8 + n + 6n Combine like terms: 9 + -8 = 1 1 + -7n = 1 + n + 6n Combine like terms: n + 6n = 7n 1 + -7n = 1 + 7n Add '-1' to each side of the equation. 1 + -1 + -7n = 1 + -1 + 7n Combine like terms: 1 + -1 = 0 0 + -7n = 1 + -1 + 7n -7n = 1 + -1 + 7n Combine like terms: 1 + -1 = 0 -7n = 0 + 7n -7n = 7n Solving -7n = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -7n + -7n = 7n + -7n Combine like terms: -7n + -7n = -14n -14n = 7n + -7n Combine like terms: 7n + -7n = 0 -14n = 0 Divide each side by '-14'. n = 0 Simplifying n = 0
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