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Simplifying 6n + -8 = 5n + 21 Reorder the terms: -8 + 6n = 5n + 21 Reorder the terms: -8 + 6n = 21 + 5n Solving -8 + 6n = 21 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -8 + 6n + -5n = 21 + 5n + -5n Combine like terms: 6n + -5n = 1n -8 + 1n = 21 + 5n + -5n Combine like terms: 5n + -5n = 0 -8 + 1n = 21 + 0 -8 + 1n = 21 Add '8' to each side of the equation. -8 + 8 + 1n = 21 + 8 Combine like terms: -8 + 8 = 0 0 + 1n = 21 + 8 1n = 21 + 8 Combine like terms: 21 + 8 = 29 1n = 29 Divide each side by '1'. n = 29 Simplifying n = 29
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