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Simplifying -42 = -2(1 + 4n) -42 = (1 * -2 + 4n * -2) -42 = (-2 + -8n) Solving -42 = -2 + -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. -42 + 8n = -2 + -8n + 8n Combine like terms: -8n + 8n = 0 -42 + 8n = -2 + 0 -42 + 8n = -2 Add '42' to each side of the equation. -42 + 42 + 8n = -2 + 42 Combine like terms: -42 + 42 = 0 0 + 8n = -2 + 42 8n = -2 + 42 Combine like terms: -2 + 42 = 40 8n = 40 Divide each side by '8'. n = 5 Simplifying n = 5
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