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Simplifying 2n + -24 = -42 + 8n Reorder the terms: -24 + 2n = -42 + 8n Solving -24 + 2n = -42 + 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. -24 + 2n + -8n = -42 + 8n + -8n Combine like terms: 2n + -8n = -6n -24 + -6n = -42 + 8n + -8n Combine like terms: 8n + -8n = 0 -24 + -6n = -42 + 0 -24 + -6n = -42 Add '24' to each side of the equation. -24 + 24 + -6n = -42 + 24 Combine like terms: -24 + 24 = 0 0 + -6n = -42 + 24 -6n = -42 + 24 Combine like terms: -42 + 24 = -18 -6n = -18 Divide each side by '-6'. n = 3 Simplifying n = 3
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