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Simplifying 5n + -1(100 + 2n) = 4n + -2(10 + n) 5n + (100 * -1 + 2n * -1) = 4n + -2(10 + n) 5n + (-100 + -2n) = 4n + -2(10 + n) Reorder the terms: -100 + 5n + -2n = 4n + -2(10 + n) Combine like terms: 5n + -2n = 3n -100 + 3n = 4n + -2(10 + n) -100 + 3n = 4n + (10 * -2 + n * -2) -100 + 3n = 4n + (-20 + -2n) Reorder the terms: -100 + 3n = -20 + 4n + -2n Combine like terms: 4n + -2n = 2n -100 + 3n = -20 + 2n Solving -100 + 3n = -20 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -100 + 3n + -2n = -20 + 2n + -2n Combine like terms: 3n + -2n = 1n -100 + 1n = -20 + 2n + -2n Combine like terms: 2n + -2n = 0 -100 + 1n = -20 + 0 -100 + 1n = -20 Add '100' to each side of the equation. -100 + 100 + 1n = -20 + 100 Combine like terms: -100 + 100 = 0 0 + 1n = -20 + 100 1n = -20 + 100 Combine like terms: -20 + 100 = 80 1n = 80 Divide each side by '1'. n = 80 Simplifying n = 80
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