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Simplifying 8 + 3n + -7 = 8n + 6 + -6n Reorder the terms: 8 + -7 + 3n = 8n + 6 + -6n Combine like terms: 8 + -7 = 1 1 + 3n = 8n + 6 + -6n Reorder the terms: 1 + 3n = 6 + 8n + -6n Combine like terms: 8n + -6n = 2n 1 + 3n = 6 + 2n Solving 1 + 3n = 6 + 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 + 3n + -2n = 6 + 2n + -2n Combine like terms: 3n + -2n = 1n 1 + 1n = 6 + 2n + -2n Combine like terms: 2n + -2n = 0 1 + 1n = 6 + 0 1 + 1n = 6 Add '-1' to each side of the equation. 1 + -1 + 1n = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 1n = 6 + -1 1n = 6 + -1 Combine like terms: 6 + -1 = 5 1n = 5 Divide each side by '1'. n = 5 Simplifying n = 5
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