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Simplifying 6n + 1 = 7n + 6 Reorder the terms: 1 + 6n = 7n + 6 Reorder the terms: 1 + 6n = 6 + 7n Solving 1 + 6n = 6 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 1 + 6n + -7n = 6 + 7n + -7n Combine like terms: 6n + -7n = -1n 1 + -1n = 6 + 7n + -7n Combine like terms: 7n + -7n = 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 = 5 -1n = 5 Divide each side by '-1'. n = -5 Simplifying n = -5
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