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Simplifying 1 + 4n = -13 + 5n + -8n Combine like terms: 5n + -8n = -3n 1 + 4n = -13 + -3n Solving 1 + 4n = -13 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 1 + 4n + 3n = -13 + -3n + 3n Combine like terms: 4n + 3n = 7n 1 + 7n = -13 + -3n + 3n Combine like terms: -3n + 3n = 0 1 + 7n = -13 + 0 1 + 7n = -13 Add '-1' to each side of the equation. 1 + -1 + 7n = -13 + -1 Combine like terms: 1 + -1 = 0 0 + 7n = -13 + -1 7n = -13 + -1 Combine like terms: -13 + -1 = -14 7n = -14 Divide each side by '7'. n = -2 Simplifying n = -2
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