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Simplifying 30 + 6n = -5(4n + 6) + -8n Reorder the terms: 30 + 6n = -5(6 + 4n) + -8n 30 + 6n = (6 * -5 + 4n * -5) + -8n 30 + 6n = (-30 + -20n) + -8n Combine like terms: -20n + -8n = -28n 30 + 6n = -30 + -28n Solving 30 + 6n = -30 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. 30 + 6n + 28n = -30 + -28n + 28n Combine like terms: 6n + 28n = 34n 30 + 34n = -30 + -28n + 28n Combine like terms: -28n + 28n = 0 30 + 34n = -30 + 0 30 + 34n = -30 Add '-30' to each side of the equation. 30 + -30 + 34n = -30 + -30 Combine like terms: 30 + -30 = 0 0 + 34n = -30 + -30 34n = -30 + -30 Combine like terms: -30 + -30 = -60 34n = -60 Divide each side by '34'. n = -1.764705882 Simplifying n = -1.764705882
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