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Simplifying -6n + 14 = -5n + -17 Reorder the terms: 14 + -6n = -5n + -17 Reorder the terms: 14 + -6n = -17 + -5n Solving 14 + -6n = -17 + -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. 14 + -6n + 5n = -17 + -5n + 5n Combine like terms: -6n + 5n = -1n 14 + -1n = -17 + -5n + 5n Combine like terms: -5n + 5n = 0 14 + -1n = -17 + 0 14 + -1n = -17 Add '-14' to each side of the equation. 14 + -14 + -1n = -17 + -14 Combine like terms: 14 + -14 = 0 0 + -1n = -17 + -14 -1n = -17 + -14 Combine like terms: -17 + -14 = -31 -1n = -31 Divide each side by '-1'. n = 31 Simplifying n = 31
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