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Simplifying 38 + -1n = 5 + 4(-2n + 3) Reorder the terms: 38 + -1n = 5 + 4(3 + -2n) 38 + -1n = 5 + (3 * 4 + -2n * 4) 38 + -1n = 5 + (12 + -8n) Combine like terms: 5 + 12 = 17 38 + -1n = 17 + -8n Solving 38 + -1n = 17 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 38 + -1n + 8n = 17 + -8n + 8n Combine like terms: -1n + 8n = 7n 38 + 7n = 17 + -8n + 8n Combine like terms: -8n + 8n = 0 38 + 7n = 17 + 0 38 + 7n = 17 Add '-38' to each side of the equation. 38 + -38 + 7n = 17 + -38 Combine like terms: 38 + -38 = 0 0 + 7n = 17 + -38 7n = 17 + -38 Combine like terms: 17 + -38 = -21 7n = -21 Divide each side by '7'. n = -3 Simplifying n = -3
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