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Simplifying 4 + 14n + -3 = 8n + 73 + -3n Reorder the terms: 4 + -3 + 14n = 8n + 73 + -3n Combine like terms: 4 + -3 = 1 1 + 14n = 8n + 73 + -3n Reorder the terms: 1 + 14n = 73 + 8n + -3n Combine like terms: 8n + -3n = 5n 1 + 14n = 73 + 5n Solving 1 + 14n = 73 + 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. 1 + 14n + -5n = 73 + 5n + -5n Combine like terms: 14n + -5n = 9n 1 + 9n = 73 + 5n + -5n Combine like terms: 5n + -5n = 0 1 + 9n = 73 + 0 1 + 9n = 73 Add '-1' to each side of the equation. 1 + -1 + 9n = 73 + -1 Combine like terms: 1 + -1 = 0 0 + 9n = 73 + -1 9n = 73 + -1 Combine like terms: 73 + -1 = 72 9n = 72 Divide each side by '9'. n = 8 Simplifying n = 8
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