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Simplifying 6n + 34 = 8(8 + -3n) Reorder the terms: 34 + 6n = 8(8 + -3n) 34 + 6n = (8 * 8 + -3n * 8) 34 + 6n = (64 + -24n) Solving 34 + 6n = 64 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. 34 + 6n + 24n = 64 + -24n + 24n Combine like terms: 6n + 24n = 30n 34 + 30n = 64 + -24n + 24n Combine like terms: -24n + 24n = 0 34 + 30n = 64 + 0 34 + 30n = 64 Add '-34' to each side of the equation. 34 + -34 + 30n = 64 + -34 Combine like terms: 34 + -34 = 0 0 + 30n = 64 + -34 30n = 64 + -34 Combine like terms: 64 + -34 = 30 30n = 30 Divide each side by '30'. n = 1 Simplifying n = 1
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