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Simplifying 5n + -8 = 2n + 19 Reorder the terms: -8 + 5n = 2n + 19 Reorder the terms: -8 + 5n = 19 + 2n Solving -8 + 5n = 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. -8 + 5n + -2n = 19 + 2n + -2n Combine like terms: 5n + -2n = 3n -8 + 3n = 19 + 2n + -2n Combine like terms: 2n + -2n = 0 -8 + 3n = 19 + 0 -8 + 3n = 19 Add '8' to each side of the equation. -8 + 8 + 3n = 19 + 8 Combine like terms: -8 + 8 = 0 0 + 3n = 19 + 8 3n = 19 + 8 Combine like terms: 19 + 8 = 27 3n = 27 Divide each side by '3'. n = 9 Simplifying n = 9
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