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Simplifying 38 + 5n = 3 + 8(4 + n) 38 + 5n = 3 + (4 * 8 + n * 8) 38 + 5n = 3 + (32 + 8n) Combine like terms: 3 + 32 = 35 38 + 5n = 35 + 8n Solving 38 + 5n = 35 + 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 + 5n + -8n = 35 + 8n + -8n Combine like terms: 5n + -8n = -3n 38 + -3n = 35 + 8n + -8n Combine like terms: 8n + -8n = 0 38 + -3n = 35 + 0 38 + -3n = 35 Add '-38' to each side of the equation. 38 + -38 + -3n = 35 + -38 Combine like terms: 38 + -38 = 0 0 + -3n = 35 + -38 -3n = 35 + -38 Combine like terms: 35 + -38 = -3 -3n = -3 Divide each side by '-3'. n = 1 Simplifying n = 1
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