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Simplifying 5n + -21 = -45 + 8n Reorder the terms: -21 + 5n = -45 + 8n Solving -21 + 5n = -45 + 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 = -45 + 8n + -8n Combine like terms: 5n + -8n = -3n -21 + -3n = -45 + 8n + -8n Combine like terms: 8n + -8n = 0 -21 + -3n = -45 + 0 -21 + -3n = -45 Add '21' to each side of the equation. -21 + 21 + -3n = -45 + 21 Combine like terms: -21 + 21 = 0 0 + -3n = -45 + 21 -3n = -45 + 21 Combine like terms: -45 + 21 = -24 -3n = -24 Divide each side by '-3'. n = 8 Simplifying n = 8
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