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Simplifying -4n + -11 = 4n + 21 Reorder the terms: -11 + -4n = 4n + 21 Reorder the terms: -11 + -4n = 21 + 4n Solving -11 + -4n = 21 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -11 + -4n + -4n = 21 + 4n + -4n Combine like terms: -4n + -4n = -8n -11 + -8n = 21 + 4n + -4n Combine like terms: 4n + -4n = 0 -11 + -8n = 21 + 0 -11 + -8n = 21 Add '11' to each side of the equation. -11 + 11 + -8n = 21 + 11 Combine like terms: -11 + 11 = 0 0 + -8n = 21 + 11 -8n = 21 + 11 Combine like terms: 21 + 11 = 32 -8n = 32 Divide each side by '-8'. n = -4 Simplifying n = -4
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