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Simplifying 1 + 7n = 6n + -6 Reorder the terms: 1 + 7n = -6 + 6n Solving 1 + 7n = -6 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 1 + 7n + -6n = -6 + 6n + -6n Combine like terms: 7n + -6n = 1n 1 + 1n = -6 + 6n + -6n Combine like terms: 6n + -6n = 0 1 + 1n = -6 + 0 1 + 1n = -6 Add '-1' to each side of the equation. 1 + -1 + 1n = -6 + -1 Combine like terms: 1 + -1 = 0 0 + 1n = -6 + -1 1n = -6 + -1 Combine like terms: -6 + -1 = -7 1n = -7 Divide each side by '1'. n = -7 Simplifying n = -7
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