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Simplifying 71 + -5n = 9n + -13 Reorder the terms: 71 + -5n = -13 + 9n Solving 71 + -5n = -13 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 71 + -5n + -9n = -13 + 9n + -9n Combine like terms: -5n + -9n = -14n 71 + -14n = -13 + 9n + -9n Combine like terms: 9n + -9n = 0 71 + -14n = -13 + 0 71 + -14n = -13 Add '-71' to each side of the equation. 71 + -71 + -14n = -13 + -71 Combine like terms: 71 + -71 = 0 0 + -14n = -13 + -71 -14n = -13 + -71 Combine like terms: -13 + -71 = -84 -14n = -84 Divide each side by '-14'. n = 6 Simplifying n = 6
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