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Simplifying 6n + 1 = -2n + 21 Reorder the terms: 1 + 6n = -2n + 21 Reorder the terms: 1 + 6n = 21 + -2n Solving 1 + 6n = 21 + -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. 1 + 6n + 2n = 21 + -2n + 2n Combine like terms: 6n + 2n = 8n 1 + 8n = 21 + -2n + 2n Combine like terms: -2n + 2n = 0 1 + 8n = 21 + 0 1 + 8n = 21 Add '-1' to each side of the equation. 1 + -1 + 8n = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 8n = 21 + -1 8n = 21 + -1 Combine like terms: 21 + -1 = 20 8n = 20 Divide each side by '8'. n = 2.5 Simplifying n = 2.5
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