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Simplifying 7 + 14n + -6 = 8n + 65 + -2n Reorder the terms: 7 + -6 + 14n = 8n + 65 + -2n Combine like terms: 7 + -6 = 1 1 + 14n = 8n + 65 + -2n Reorder the terms: 1 + 14n = 65 + 8n + -2n Combine like terms: 8n + -2n = 6n 1 + 14n = 65 + 6n Solving 1 + 14n = 65 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 1 + 14n + -6n = 65 + 6n + -6n Combine like terms: 14n + -6n = 8n 1 + 8n = 65 + 6n + -6n Combine like terms: 6n + -6n = 0 1 + 8n = 65 + 0 1 + 8n = 65 Add '-1' to each side of the equation. 1 + -1 + 8n = 65 + -1 Combine like terms: 1 + -1 = 0 0 + 8n = 65 + -1 8n = 65 + -1 Combine like terms: 65 + -1 = 64 8n = 64 Divide each side by '8'. n = 8 Simplifying n = 8
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