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Simplifying -8(1 + -4n) + -5 = -13 + -5n (1 * -8 + -4n * -8) + -5 = -13 + -5n (-8 + 32n) + -5 = -13 + -5n Reorder the terms: -8 + -5 + 32n = -13 + -5n Combine like terms: -8 + -5 = -13 -13 + 32n = -13 + -5n Add '13' to each side of the equation. -13 + 13 + 32n = -13 + 13 + -5n Combine like terms: -13 + 13 = 0 0 + 32n = -13 + 13 + -5n 32n = -13 + 13 + -5n Combine like terms: -13 + 13 = 0 32n = 0 + -5n 32n = -5n Solving 32n = -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 32n + 5n = -5n + 5n Combine like terms: 32n + 5n = 37n 37n = -5n + 5n Combine like terms: -5n + 5n = 0 37n = 0 Divide each side by '37'. n = 0 Simplifying n = 0
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