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Simplifying 3n + -4(-6 + -8n) = -81 3n + (-6 * -4 + -8n * -4) = -81 3n + (24 + 32n) = -81 Reorder the terms: 24 + 3n + 32n = -81 Combine like terms: 3n + 32n = 35n 24 + 35n = -81 Solving 24 + 35n = -81 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 35n = -81 + -24 Combine like terms: 24 + -24 = 0 0 + 35n = -81 + -24 35n = -81 + -24 Combine like terms: -81 + -24 = -105 35n = -105 Divide each side by '35'. n = -3 Simplifying n = -3
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