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Simplifying 6n + -34 = n + 71 Reorder the terms: -34 + 6n = n + 71 Reorder the terms: -34 + 6n = 71 + n Solving -34 + 6n = 71 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -34 + 6n + -1n = 71 + n + -1n Combine like terms: 6n + -1n = 5n -34 + 5n = 71 + n + -1n Combine like terms: n + -1n = 0 -34 + 5n = 71 + 0 -34 + 5n = 71 Add '34' to each side of the equation. -34 + 34 + 5n = 71 + 34 Combine like terms: -34 + 34 = 0 0 + 5n = 71 + 34 5n = 71 + 34 Combine like terms: 71 + 34 = 105 5n = 105 Divide each side by '5'. n = 21 Simplifying n = 21
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