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Simplifying 38 + 5n = -8n + 4(1 + -1n) 38 + 5n = -8n + (1 * 4 + -1n * 4) 38 + 5n = -8n + (4 + -4n) Reorder the terms: 38 + 5n = 4 + -8n + -4n Combine like terms: -8n + -4n = -12n 38 + 5n = 4 + -12n Solving 38 + 5n = 4 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 38 + 5n + 12n = 4 + -12n + 12n Combine like terms: 5n + 12n = 17n 38 + 17n = 4 + -12n + 12n Combine like terms: -12n + 12n = 0 38 + 17n = 4 + 0 38 + 17n = 4 Add '-38' to each side of the equation. 38 + -38 + 17n = 4 + -38 Combine like terms: 38 + -38 = 0 0 + 17n = 4 + -38 17n = 4 + -38 Combine like terms: 4 + -38 = -34 17n = -34 Divide each side by '17'. n = -2 Simplifying n = -2
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