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Simplifying -4(n + 5) + -2 = 2 + 4n Reorder the terms: -4(5 + n) + -2 = 2 + 4n (5 * -4 + n * -4) + -2 = 2 + 4n (-20 + -4n) + -2 = 2 + 4n Reorder the terms: -20 + -2 + -4n = 2 + 4n Combine like terms: -20 + -2 = -22 -22 + -4n = 2 + 4n Solving -22 + -4n = 2 + 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. -22 + -4n + -4n = 2 + 4n + -4n Combine like terms: -4n + -4n = -8n -22 + -8n = 2 + 4n + -4n Combine like terms: 4n + -4n = 0 -22 + -8n = 2 + 0 -22 + -8n = 2 Add '22' to each side of the equation. -22 + 22 + -8n = 2 + 22 Combine like terms: -22 + 22 = 0 0 + -8n = 2 + 22 -8n = 2 + 22 Combine like terms: 2 + 22 = 24 -8n = 24 Divide each side by '-8'. n = -3 Simplifying n = -3
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