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Simplifying 38 + 8n = -6(1 + 6n) 38 + 8n = (1 * -6 + 6n * -6) 38 + 8n = (-6 + -36n) Solving 38 + 8n = -6 + -36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36n' to each side of the equation. 38 + 8n + 36n = -6 + -36n + 36n Combine like terms: 8n + 36n = 44n 38 + 44n = -6 + -36n + 36n Combine like terms: -36n + 36n = 0 38 + 44n = -6 + 0 38 + 44n = -6 Add '-38' to each side of the equation. 38 + -38 + 44n = -6 + -38 Combine like terms: 38 + -38 = 0 0 + 44n = -6 + -38 44n = -6 + -38 Combine like terms: -6 + -38 = -44 44n = -44 Divide each side by '44'. n = -1 Simplifying n = -1
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