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Simplifying -4n + -20 + 5n = 19 + -2n Reorder the terms: -20 + -4n + 5n = 19 + -2n Combine like terms: -4n + 5n = 1n -20 + 1n = 19 + -2n Solving -20 + 1n = 19 + -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. -20 + 1n + 2n = 19 + -2n + 2n Combine like terms: 1n + 2n = 3n -20 + 3n = 19 + -2n + 2n Combine like terms: -2n + 2n = 0 -20 + 3n = 19 + 0 -20 + 3n = 19 Add '20' to each side of the equation. -20 + 20 + 3n = 19 + 20 Combine like terms: -20 + 20 = 0 0 + 3n = 19 + 20 3n = 19 + 20 Combine like terms: 19 + 20 = 39 3n = 39 Divide each side by '3'. n = 13 Simplifying n = 13
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