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Simplifying 5n + 36 = -3(3n + -6) + 8n Reorder the terms: 36 + 5n = -3(3n + -6) + 8n Reorder the terms: 36 + 5n = -3(-6 + 3n) + 8n 36 + 5n = (-6 * -3 + 3n * -3) + 8n 36 + 5n = (18 + -9n) + 8n Combine like terms: -9n + 8n = -1n 36 + 5n = 18 + -1n Solving 36 + 5n = 18 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 36 + 5n + n = 18 + -1n + n Combine like terms: 5n + n = 6n 36 + 6n = 18 + -1n + n Combine like terms: -1n + n = 0 36 + 6n = 18 + 0 36 + 6n = 18 Add '-36' to each side of the equation. 36 + -36 + 6n = 18 + -36 Combine like terms: 36 + -36 = 0 0 + 6n = 18 + -36 6n = 18 + -36 Combine like terms: 18 + -36 = -18 6n = -18 Divide each side by '6'. n = -3 Simplifying n = -3
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