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Simplifying 34 + 5n = 3(8n + 9) Reorder the terms: 34 + 5n = 3(9 + 8n) 34 + 5n = (9 * 3 + 8n * 3) 34 + 5n = (27 + 24n) Solving 34 + 5n = 27 + 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 + 5n + -24n = 27 + 24n + -24n Combine like terms: 5n + -24n = -19n 34 + -19n = 27 + 24n + -24n Combine like terms: 24n + -24n = 0 34 + -19n = 27 + 0 34 + -19n = 27 Add '-34' to each side of the equation. 34 + -34 + -19n = 27 + -34 Combine like terms: 34 + -34 = 0 0 + -19n = 27 + -34 -19n = 27 + -34 Combine like terms: 27 + -34 = -7 -19n = -7 Divide each side by '-19'. n = 0.3684210526 Simplifying n = 0.3684210526
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