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Simplifying 5(8n + 6) + 4 = -38 + 4n Reorder the terms: 5(6 + 8n) + 4 = -38 + 4n (6 * 5 + 8n * 5) + 4 = -38 + 4n (30 + 40n) + 4 = -38 + 4n Reorder the terms: 30 + 4 + 40n = -38 + 4n Combine like terms: 30 + 4 = 34 34 + 40n = -38 + 4n Solving 34 + 40n = -38 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 34 + 40n + -4n = -38 + 4n + -4n Combine like terms: 40n + -4n = 36n 34 + 36n = -38 + 4n + -4n Combine like terms: 4n + -4n = 0 34 + 36n = -38 + 0 34 + 36n = -38 Add '-34' to each side of the equation. 34 + -34 + 36n = -38 + -34 Combine like terms: 34 + -34 = 0 0 + 36n = -38 + -34 36n = -38 + -34 Combine like terms: -38 + -34 = -72 36n = -72 Divide each side by '36'. n = -2 Simplifying n = -2
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