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Simplifying -208 = 4n + 8(1 + -5n) -208 = 4n + (1 * 8 + -5n * 8) -208 = 4n + (8 + -40n) Reorder the terms: -208 = 8 + 4n + -40n Combine like terms: 4n + -40n = -36n -208 = 8 + -36n Solving -208 = 8 + -36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36n' to each side of the equation. -208 + 36n = 8 + -36n + 36n Combine like terms: -36n + 36n = 0 -208 + 36n = 8 + 0 -208 + 36n = 8 Add '208' to each side of the equation. -208 + 208 + 36n = 8 + 208 Combine like terms: -208 + 208 = 0 0 + 36n = 8 + 208 36n = 8 + 208 Combine like terms: 8 + 208 = 216 36n = 216 Divide each side by '36'. n = 6 Simplifying n = 6
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