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Simplifying 6(n + -5) + 8n = -38 + 6n Reorder the terms: 6(-5 + n) + 8n = -38 + 6n (-5 * 6 + n * 6) + 8n = -38 + 6n (-30 + 6n) + 8n = -38 + 6n Combine like terms: 6n + 8n = 14n -30 + 14n = -38 + 6n Solving -30 + 14n = -38 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -30 + 14n + -6n = -38 + 6n + -6n Combine like terms: 14n + -6n = 8n -30 + 8n = -38 + 6n + -6n Combine like terms: 6n + -6n = 0 -30 + 8n = -38 + 0 -30 + 8n = -38 Add '30' to each side of the equation. -30 + 30 + 8n = -38 + 30 Combine like terms: -30 + 30 = 0 0 + 8n = -38 + 30 8n = -38 + 30 Combine like terms: -38 + 30 = -8 8n = -8 Divide each side by '8'. n = -1 Simplifying n = -1
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