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Simplifying 4 + -5n = 7(-5n + -8) Reorder the terms: 4 + -5n = 7(-8 + -5n) 4 + -5n = (-8 * 7 + -5n * 7) 4 + -5n = (-56 + -35n) Solving 4 + -5n = -56 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. 4 + -5n + 35n = -56 + -35n + 35n Combine like terms: -5n + 35n = 30n 4 + 30n = -56 + -35n + 35n Combine like terms: -35n + 35n = 0 4 + 30n = -56 + 0 4 + 30n = -56 Add '-4' to each side of the equation. 4 + -4 + 30n = -56 + -4 Combine like terms: 4 + -4 = 0 0 + 30n = -56 + -4 30n = -56 + -4 Combine like terms: -56 + -4 = -60 30n = -60 Divide each side by '30'. n = -2 Simplifying n = -2
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