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Simplifying 5n + 34 = 2(17 + -1n) Reorder the terms: 34 + 5n = 2(17 + -1n) 34 + 5n = (17 * 2 + -1n * 2) 34 + 5n = (34 + -2n) Add '-34' to each side of the equation. 34 + -34 + 5n = 34 + -34 + -2n Combine like terms: 34 + -34 = 0 0 + 5n = 34 + -34 + -2n 5n = 34 + -34 + -2n Combine like terms: 34 + -34 = 0 5n = 0 + -2n 5n = -2n Solving 5n = -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 5n + 2n = -2n + 2n Combine like terms: 5n + 2n = 7n 7n = -2n + 2n Combine like terms: -2n + 2n = 0 7n = 0 Divide each side by '7'. n = 0 Simplifying n = 0
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