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Simplifying -342 = -6(1 + 8n) + 6n -342 = (1 * -6 + 8n * -6) + 6n -342 = (-6 + -48n) + 6n Combine like terms: -48n + 6n = -42n -342 = -6 + -42n Solving -342 = -6 + -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. -342 + 42n = -6 + -42n + 42n Combine like terms: -42n + 42n = 0 -342 + 42n = -6 + 0 -342 + 42n = -6 Add '342' to each side of the equation. -342 + 342 + 42n = -6 + 342 Combine like terms: -342 + 342 = 0 0 + 42n = -6 + 342 42n = -6 + 342 Combine like terms: -6 + 342 = 336 42n = 336 Divide each side by '42'. n = 8 Simplifying n = 8
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