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Simplifying 14 + 2n + -18 + 3n + 10 + -8n = 5n + -34 Reorder the terms: 14 + -18 + 10 + 2n + 3n + -8n = 5n + -34 Combine like terms: 14 + -18 = -4 -4 + 10 + 2n + 3n + -8n = 5n + -34 Combine like terms: -4 + 10 = 6 6 + 2n + 3n + -8n = 5n + -34 Combine like terms: 2n + 3n = 5n 6 + 5n + -8n = 5n + -34 Combine like terms: 5n + -8n = -3n 6 + -3n = 5n + -34 Reorder the terms: 6 + -3n = -34 + 5n Solving 6 + -3n = -34 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 6 + -3n + -5n = -34 + 5n + -5n Combine like terms: -3n + -5n = -8n 6 + -8n = -34 + 5n + -5n Combine like terms: 5n + -5n = 0 6 + -8n = -34 + 0 6 + -8n = -34 Add '-6' to each side of the equation. 6 + -6 + -8n = -34 + -6 Combine like terms: 6 + -6 = 0 0 + -8n = -34 + -6 -8n = -34 + -6 Combine like terms: -34 + -6 = -40 -8n = -40 Divide each side by '-8'. n = 5 Simplifying n = 5
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