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Simplifying 7n + -1 = 6n + -6 + 4 + 6 Reorder the terms: -1 + 7n = 6n + -6 + 4 + 6 Reorder the terms: -1 + 7n = -6 + 4 + 6 + 6n Combine like terms: -6 + 4 = -2 -1 + 7n = -2 + 6 + 6n Combine like terms: -2 + 6 = 4 -1 + 7n = 4 + 6n Solving -1 + 7n = 4 + 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 = 4 + 6n + -6n Combine like terms: 7n + -6n = 1n -1 + 1n = 4 + 6n + -6n Combine like terms: 6n + -6n = 0 -1 + 1n = 4 + 0 -1 + 1n = 4 Add '1' to each side of the equation. -1 + 1 + 1n = 4 + 1 Combine like terms: -1 + 1 = 0 0 + 1n = 4 + 1 1n = 4 + 1 Combine like terms: 4 + 1 = 5 1n = 5 Divide each side by '1'. n = 5 Simplifying n = 5
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