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Simplifying 4 + -8n = 6(3n + 6) + 6n Reorder the terms: 4 + -8n = 6(6 + 3n) + 6n 4 + -8n = (6 * 6 + 3n * 6) + 6n 4 + -8n = (36 + 18n) + 6n Combine like terms: 18n + 6n = 24n 4 + -8n = 36 + 24n Solving 4 + -8n = 36 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 4 + -8n + -24n = 36 + 24n + -24n Combine like terms: -8n + -24n = -32n 4 + -32n = 36 + 24n + -24n Combine like terms: 24n + -24n = 0 4 + -32n = 36 + 0 4 + -32n = 36 Add '-4' to each side of the equation. 4 + -4 + -32n = 36 + -4 Combine like terms: 4 + -4 = 0 0 + -32n = 36 + -4 -32n = 36 + -4 Combine like terms: 36 + -4 = 32 -32n = 32 Divide each side by '-32'. n = -1 Simplifying n = -1
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