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Simplifying n + -1 = 5n + 3n + -8 Reorder the terms: -1 + n = 5n + 3n + -8 Reorder the terms: -1 + n = -8 + 5n + 3n Combine like terms: 5n + 3n = 8n -1 + n = -8 + 8n Solving -1 + n = -8 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -1 + n + -8n = -8 + 8n + -8n Combine like terms: n + -8n = -7n -1 + -7n = -8 + 8n + -8n Combine like terms: 8n + -8n = 0 -1 + -7n = -8 + 0 -1 + -7n = -8 Add '1' to each side of the equation. -1 + 1 + -7n = -8 + 1 Combine like terms: -1 + 1 = 0 0 + -7n = -8 + 1 -7n = -8 + 1 Combine like terms: -8 + 1 = -7 -7n = -7 Divide each side by '-7'. n = 1 Simplifying n = 1
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