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Simplifying 6 + 6n + -1 = 8n + -33 + 6n Reorder the terms: 6 + -1 + 6n = 8n + -33 + 6n Combine like terms: 6 + -1 = 5 5 + 6n = 8n + -33 + 6n Reorder the terms: 5 + 6n = -33 + 8n + 6n Combine like terms: 8n + 6n = 14n 5 + 6n = -33 + 14n Solving 5 + 6n = -33 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 5 + 6n + -14n = -33 + 14n + -14n Combine like terms: 6n + -14n = -8n 5 + -8n = -33 + 14n + -14n Combine like terms: 14n + -14n = 0 5 + -8n = -33 + 0 5 + -8n = -33 Add '-5' to each side of the equation. 5 + -5 + -8n = -33 + -5 Combine like terms: 5 + -5 = 0 0 + -8n = -33 + -5 -8n = -33 + -5 Combine like terms: -33 + -5 = -38 -8n = -38 Divide each side by '-8'. n = 4.75 Simplifying n = 4.75
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