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Simplifying 5n + -8 = 3n + 10 Reorder the terms: -8 + 5n = 3n + 10 Reorder the terms: -8 + 5n = 10 + 3n Solving -8 + 5n = 10 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -8 + 5n + -3n = 10 + 3n + -3n Combine like terms: 5n + -3n = 2n -8 + 2n = 10 + 3n + -3n Combine like terms: 3n + -3n = 0 -8 + 2n = 10 + 0 -8 + 2n = 10 Add '8' to each side of the equation. -8 + 8 + 2n = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 2n = 10 + 8 2n = 10 + 8 Combine like terms: 10 + 8 = 18 2n = 18 Divide each side by '2'. n = 9 Simplifying n = 9
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