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Simplifying 6(5 + 8) = 6(5) + n(8) Combine like terms: 5 + 8 = 13 6(13) = 6(5) + n(8) Multiply 6 * 13 78 = 6(5) + n(8) Multiply 6 * 5 78 = 30 + n(8) Reorder the terms for easier multiplication: 78 = 30 + 8n Solving 78 = 30 + 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. 78 + -8n = 30 + 8n + -8n Combine like terms: 8n + -8n = 0 78 + -8n = 30 + 0 78 + -8n = 30 Add '-78' to each side of the equation. 78 + -78 + -8n = 30 + -78 Combine like terms: 78 + -78 = 0 0 + -8n = 30 + -78 -8n = 30 + -78 Combine like terms: 30 + -78 = -48 -8n = -48 Divide each side by '-8'. n = 6 Simplifying n = 6
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