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Simplifying 80 = -4(5n + 1) + -4(5n + -1) Reorder the terms: 80 = -4(1 + 5n) + -4(5n + -1) 80 = (1 * -4 + 5n * -4) + -4(5n + -1) 80 = (-4 + -20n) + -4(5n + -1) Reorder the terms: 80 = -4 + -20n + -4(-1 + 5n) 80 = -4 + -20n + (-1 * -4 + 5n * -4) 80 = -4 + -20n + (4 + -20n) Reorder the terms: 80 = -4 + 4 + -20n + -20n Combine like terms: -4 + 4 = 0 80 = 0 + -20n + -20n 80 = -20n + -20n Combine like terms: -20n + -20n = -40n 80 = -40n Solving 80 = -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. 80 + 40n = -40n + 40n Combine like terms: -40n + 40n = 0 80 + 40n = 0 Add '-80' to each side of the equation. 80 + -80 + 40n = 0 + -80 Combine like terms: 80 + -80 = 0 0 + 40n = 0 + -80 40n = 0 + -80 Combine like terms: 0 + -80 = -80 40n = -80 Divide each side by '40'. n = -2 Simplifying n = -2
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