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Simplifying -5(-8n + 6) = 14 + -4n Reorder the terms: -5(6 + -8n) = 14 + -4n (6 * -5 + -8n * -5) = 14 + -4n (-30 + 40n) = 14 + -4n Solving -30 + 40n = 14 + -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. -30 + 40n + 4n = 14 + -4n + 4n Combine like terms: 40n + 4n = 44n -30 + 44n = 14 + -4n + 4n Combine like terms: -4n + 4n = 0 -30 + 44n = 14 + 0 -30 + 44n = 14 Add '30' to each side of the equation. -30 + 30 + 44n = 14 + 30 Combine like terms: -30 + 30 = 0 0 + 44n = 14 + 30 44n = 14 + 30 Combine like terms: 14 + 30 = 44 44n = 44 Divide each side by '44'. n = 1 Simplifying n = 1
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