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Simplifying -5(1 + -8n) + 4n = -5 + 7n (1 * -5 + -8n * -5) + 4n = -5 + 7n (-5 + 40n) + 4n = -5 + 7n Combine like terms: 40n + 4n = 44n -5 + 44n = -5 + 7n Add '5' to each side of the equation. -5 + 5 + 44n = -5 + 5 + 7n Combine like terms: -5 + 5 = 0 0 + 44n = -5 + 5 + 7n 44n = -5 + 5 + 7n Combine like terms: -5 + 5 = 0 44n = 0 + 7n 44n = 7n Solving 44n = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 44n + -7n = 7n + -7n Combine like terms: 44n + -7n = 37n 37n = 7n + -7n Combine like terms: 7n + -7n = 0 37n = 0 Divide each side by '37'. n = 0 Simplifying n = 0
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