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Simplifying 36 + 8n = 3(7n + -6) + -4n Reorder the terms: 36 + 8n = 3(-6 + 7n) + -4n 36 + 8n = (-6 * 3 + 7n * 3) + -4n 36 + 8n = (-18 + 21n) + -4n Combine like terms: 21n + -4n = 17n 36 + 8n = -18 + 17n Solving 36 + 8n = -18 + 17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-17n' to each side of the equation. 36 + 8n + -17n = -18 + 17n + -17n Combine like terms: 8n + -17n = -9n 36 + -9n = -18 + 17n + -17n Combine like terms: 17n + -17n = 0 36 + -9n = -18 + 0 36 + -9n = -18 Add '-36' to each side of the equation. 36 + -36 + -9n = -18 + -36 Combine like terms: 36 + -36 = 0 0 + -9n = -18 + -36 -9n = -18 + -36 Combine like terms: -18 + -36 = -54 -9n = -54 Divide each side by '-9'. n = 6 Simplifying n = 6
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