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Simplifying 65 = 4(2n + 5) + 5 Reorder the terms: 65 = 4(5 + 2n) + 5 65 = (5 * 4 + 2n * 4) + 5 65 = (20 + 8n) + 5 Reorder the terms: 65 = 20 + 5 + 8n Combine like terms: 20 + 5 = 25 65 = 25 + 8n Solving 65 = 25 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 65 + -8n = 25 + 8n + -8n Combine like terms: 8n + -8n = 0 65 + -8n = 25 + 0 65 + -8n = 25 Add '-65' to each side of the equation. 65 + -65 + -8n = 25 + -65 Combine like terms: 65 + -65 = 0 0 + -8n = 25 + -65 -8n = 25 + -65 Combine like terms: 25 + -65 = -40 -8n = -40 Divide each side by '-8'. n = 5 Simplifying n = 5
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