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Simplifying 4(2n + -1) + 2 = 38 Reorder the terms: 4(-1 + 2n) + 2 = 38 (-1 * 4 + 2n * 4) + 2 = 38 (-4 + 8n) + 2 = 38 Reorder the terms: -4 + 2 + 8n = 38 Combine like terms: -4 + 2 = -2 -2 + 8n = 38 Solving -2 + 8n = 38 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 8n = 38 + 2 Combine like terms: -2 + 2 = 0 0 + 8n = 38 + 2 8n = 38 + 2 Combine like terms: 38 + 2 = 40 8n = 40 Divide each side by '8'. n = 5 Simplifying n = 5
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