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Simplifying -4 + 2n + -8 = 8n + 1 + -4n + -21 Reorder the terms: -4 + -8 + 2n = 8n + 1 + -4n + -21 Combine like terms: -4 + -8 = -12 -12 + 2n = 8n + 1 + -4n + -21 Reorder the terms: -12 + 2n = 1 + -21 + 8n + -4n Combine like terms: 1 + -21 = -20 -12 + 2n = -20 + 8n + -4n Combine like terms: 8n + -4n = 4n -12 + 2n = -20 + 4n Solving -12 + 2n = -20 + 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. -12 + 2n + -4n = -20 + 4n + -4n Combine like terms: 2n + -4n = -2n -12 + -2n = -20 + 4n + -4n Combine like terms: 4n + -4n = 0 -12 + -2n = -20 + 0 -12 + -2n = -20 Add '12' to each side of the equation. -12 + 12 + -2n = -20 + 12 Combine like terms: -12 + 12 = 0 0 + -2n = -20 + 12 -2n = -20 + 12 Combine like terms: -20 + 12 = -8 -2n = -8 Divide each side by '-2'. n = 4 Simplifying n = 4
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