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Simplifying 5 + 13n + -4 = 7n + 9 + -2n Reorder the terms: 5 + -4 + 13n = 7n + 9 + -2n Combine like terms: 5 + -4 = 1 1 + 13n = 7n + 9 + -2n Reorder the terms: 1 + 13n = 9 + 7n + -2n Combine like terms: 7n + -2n = 5n 1 + 13n = 9 + 5n Solving 1 + 13n = 9 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 1 + 13n + -5n = 9 + 5n + -5n Combine like terms: 13n + -5n = 8n 1 + 8n = 9 + 5n + -5n Combine like terms: 5n + -5n = 0 1 + 8n = 9 + 0 1 + 8n = 9 Add '-1' to each side of the equation. 1 + -1 + 8n = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 8n = 9 + -1 8n = 9 + -1 Combine like terms: 9 + -1 = 8 8n = 8 Divide each side by '8'. n = 1 Simplifying n = 1
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