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Simplifying 8n + -21 = 6n + 0.5 Reorder the terms: -21 + 8n = 6n + 0.5 Reorder the terms: -21 + 8n = 0.5 + 6n Solving -21 + 8n = 0.5 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -21 + 8n + -6n = 0.5 + 6n + -6n Combine like terms: 8n + -6n = 2n -21 + 2n = 0.5 + 6n + -6n Combine like terms: 6n + -6n = 0 -21 + 2n = 0.5 + 0 -21 + 2n = 0.5 Add '21' to each side of the equation. -21 + 21 + 2n = 0.5 + 21 Combine like terms: -21 + 21 = 0 0 + 2n = 0.5 + 21 2n = 0.5 + 21 Combine like terms: 0.5 + 21 = 21.5 2n = 21.5 Divide each side by '2'. n = 10.75 Simplifying n = 10.75
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