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Simplifying 38 + -8n = -5n + -2(6n + 8) Reorder the terms: 38 + -8n = -5n + -2(8 + 6n) 38 + -8n = -5n + (8 * -2 + 6n * -2) 38 + -8n = -5n + (-16 + -12n) Reorder the terms: 38 + -8n = -16 + -5n + -12n Combine like terms: -5n + -12n = -17n 38 + -8n = -16 + -17n Solving 38 + -8n = -16 + -17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '17n' to each side of the equation. 38 + -8n + 17n = -16 + -17n + 17n Combine like terms: -8n + 17n = 9n 38 + 9n = -16 + -17n + 17n Combine like terms: -17n + 17n = 0 38 + 9n = -16 + 0 38 + 9n = -16 Add '-38' to each side of the equation. 38 + -38 + 9n = -16 + -38 Combine like terms: 38 + -38 = 0 0 + 9n = -16 + -38 9n = -16 + -38 Combine like terms: -16 + -38 = -54 9n = -54 Divide each side by '9'. n = -6 Simplifying n = -6
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