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Simplifying 8n + 38 = 6(1 + -4n) Reorder the terms: 38 + 8n = 6(1 + -4n) 38 + 8n = (1 * 6 + -4n * 6) 38 + 8n = (6 + -24n) Solving 38 + 8n = 6 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. 38 + 8n + 24n = 6 + -24n + 24n Combine like terms: 8n + 24n = 32n 38 + 32n = 6 + -24n + 24n Combine like terms: -24n + 24n = 0 38 + 32n = 6 + 0 38 + 32n = 6 Add '-38' to each side of the equation. 38 + -38 + 32n = 6 + -38 Combine like terms: 38 + -38 = 0 0 + 32n = 6 + -38 32n = 6 + -38 Combine like terms: 6 + -38 = -32 32n = -32 Divide each side by '32'. n = -1 Simplifying n = -1
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