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Simplifying -12 + -8n = -42n + -12 Reorder the terms: -12 + -8n = -12 + -42n Add '12' to each side of the equation. -12 + 12 + -8n = -12 + 12 + -42n Combine like terms: -12 + 12 = 0 0 + -8n = -12 + 12 + -42n -8n = -12 + 12 + -42n Combine like terms: -12 + 12 = 0 -8n = 0 + -42n -8n = -42n Solving -8n = -42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42n' to each side of the equation. -8n + 42n = -42n + 42n Combine like terms: -8n + 42n = 34n 34n = -42n + 42n Combine like terms: -42n + 42n = 0 34n = 0 Divide each side by '34'. n = 0 Simplifying n = 0
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