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Simplifying 8n + -13 = 1 + -7n + 8n Reorder the terms: -13 + 8n = 1 + -7n + 8n Combine like terms: -7n + 8n = 1n -13 + 8n = 1 + 1n Solving -13 + 8n = 1 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -13 + 8n + -1n = 1 + 1n + -1n Combine like terms: 8n + -1n = 7n -13 + 7n = 1 + 1n + -1n Combine like terms: 1n + -1n = 0 -13 + 7n = 1 + 0 -13 + 7n = 1 Add '13' to each side of the equation. -13 + 13 + 7n = 1 + 13 Combine like terms: -13 + 13 = 0 0 + 7n = 1 + 13 7n = 1 + 13 Combine like terms: 1 + 13 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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