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Simplifying 34 = 2n + 7 + 5n + -3 + -1n Reorder the terms: 34 = 7 + -3 + 2n + 5n + -1n Combine like terms: 7 + -3 = 4 34 = 4 + 2n + 5n + -1n Combine like terms: 2n + 5n = 7n 34 = 4 + 7n + -1n Combine like terms: 7n + -1n = 6n 34 = 4 + 6n Solving 34 = 4 + 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. 34 + -6n = 4 + 6n + -6n Combine like terms: 6n + -6n = 0 34 + -6n = 4 + 0 34 + -6n = 4 Add '-34' to each side of the equation. 34 + -34 + -6n = 4 + -34 Combine like terms: 34 + -34 = 0 0 + -6n = 4 + -34 -6n = 4 + -34 Combine like terms: 4 + -34 = -30 -6n = -30 Divide each side by '-6'. n = 5 Simplifying n = 5
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