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Simplifying -5(4n + 2) + -5n = 20 + 5n Reorder the terms: -5(2 + 4n) + -5n = 20 + 5n (2 * -5 + 4n * -5) + -5n = 20 + 5n (-10 + -20n) + -5n = 20 + 5n Combine like terms: -20n + -5n = -25n -10 + -25n = 20 + 5n Solving -10 + -25n = 20 + 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. -10 + -25n + -5n = 20 + 5n + -5n Combine like terms: -25n + -5n = -30n -10 + -30n = 20 + 5n + -5n Combine like terms: 5n + -5n = 0 -10 + -30n = 20 + 0 -10 + -30n = 20 Add '10' to each side of the equation. -10 + 10 + -30n = 20 + 10 Combine like terms: -10 + 10 = 0 0 + -30n = 20 + 10 -30n = 20 + 10 Combine like terms: 20 + 10 = 30 -30n = 30 Divide each side by '-30'. n = -1 Simplifying n = -1
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