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Simplifying -137 = 5(4n + -5) + 8n Reorder the terms: -137 = 5(-5 + 4n) + 8n -137 = (-5 * 5 + 4n * 5) + 8n -137 = (-25 + 20n) + 8n Combine like terms: 20n + 8n = 28n -137 = -25 + 28n Solving -137 = -25 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. -137 + -28n = -25 + 28n + -28n Combine like terms: 28n + -28n = 0 -137 + -28n = -25 + 0 -137 + -28n = -25 Add '137' to each side of the equation. -137 + 137 + -28n = -25 + 137 Combine like terms: -137 + 137 = 0 0 + -28n = -25 + 137 -28n = -25 + 137 Combine like terms: -25 + 137 = 112 -28n = 112 Divide each side by '-28'. n = -4 Simplifying n = -4
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