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