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Simplifying 6 + 8n + -5 = 9n + 19 + -7n Reorder the terms: 6 + -5 + 8n = 9n + 19 + -7n Combine like terms: 6 + -5 = 1 1 + 8n = 9n + 19 + -7n Reorder the terms: 1 + 8n = 19 + 9n + -7n Combine like terms: 9n + -7n = 2n 1 + 8n = 19 + 2n Solving 1 + 8n = 19 + 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 + 8n + -2n = 19 + 2n + -2n Combine like terms: 8n + -2n = 6n 1 + 6n = 19 + 2n + -2n Combine like terms: 2n + -2n = 0 1 + 6n = 19 + 0 1 + 6n = 19 Add '-1' to each side of the equation. 1 + -1 + 6n = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 6n = 19 + -1 6n = 19 + -1 Combine like terms: 19 + -1 = 18 6n = 18 Divide each side by '6'. n = 3 Simplifying n = 3
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