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Simplifying 5n + -25 + 4 = 8n + 1 Reorder the terms: -25 + 4 + 5n = 8n + 1 Combine like terms: -25 + 4 = -21 -21 + 5n = 8n + 1 Reorder the terms: -21 + 5n = 1 + 8n Solving -21 + 5n = 1 + 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. -21 + 5n + -8n = 1 + 8n + -8n Combine like terms: 5n + -8n = -3n -21 + -3n = 1 + 8n + -8n Combine like terms: 8n + -8n = 0 -21 + -3n = 1 + 0 -21 + -3n = 1 Add '21' to each side of the equation. -21 + 21 + -3n = 1 + 21 Combine like terms: -21 + 21 = 0 0 + -3n = 1 + 21 -3n = 1 + 21 Combine like terms: 1 + 21 = 22 -3n = 22 Divide each side by '-3'. n = -7.333333333 Simplifying n = -7.333333333
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