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Simplifying 19n + -19 = 20n + -5n + 13 Reorder the terms: -19 + 19n = 20n + -5n + 13 Reorder the terms: -19 + 19n = 13 + 20n + -5n Combine like terms: 20n + -5n = 15n -19 + 19n = 13 + 15n Solving -19 + 19n = 13 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -19 + 19n + -15n = 13 + 15n + -15n Combine like terms: 19n + -15n = 4n -19 + 4n = 13 + 15n + -15n Combine like terms: 15n + -15n = 0 -19 + 4n = 13 + 0 -19 + 4n = 13 Add '19' to each side of the equation. -19 + 19 + 4n = 13 + 19 Combine like terms: -19 + 19 = 0 0 + 4n = 13 + 19 4n = 13 + 19 Combine like terms: 13 + 19 = 32 4n = 32 Divide each side by '4'. n = 8 Simplifying n = 8
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