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Simplifying 3 + 6n + -2 = 8n + 29 + -6n Reorder the terms: 3 + -2 + 6n = 8n + 29 + -6n Combine like terms: 3 + -2 = 1 1 + 6n = 8n + 29 + -6n Reorder the terms: 1 + 6n = 29 + 8n + -6n Combine like terms: 8n + -6n = 2n 1 + 6n = 29 + 2n Solving 1 + 6n = 29 + 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 = 29 + 2n + -2n Combine like terms: 6n + -2n = 4n 1 + 4n = 29 + 2n + -2n Combine like terms: 2n + -2n = 0 1 + 4n = 29 + 0 1 + 4n = 29 Add '-1' to each side of the equation. 1 + -1 + 4n = 29 + -1 Combine like terms: 1 + -1 = 0 0 + 4n = 29 + -1 4n = 29 + -1 Combine like terms: 29 + -1 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
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