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Simplifying -5n + 7 = 2 + -6n + 4 + 2 Reorder the terms: 7 + -5n = 2 + -6n + 4 + 2 Reorder the terms: 7 + -5n = 2 + 4 + 2 + -6n Combine like terms: 2 + 4 = 6 7 + -5n = 6 + 2 + -6n Combine like terms: 6 + 2 = 8 7 + -5n = 8 + -6n Solving 7 + -5n = 8 + -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. 7 + -5n + 6n = 8 + -6n + 6n Combine like terms: -5n + 6n = 1n 7 + 1n = 8 + -6n + 6n Combine like terms: -6n + 6n = 0 7 + 1n = 8 + 0 7 + 1n = 8 Add '-7' to each side of the equation. 7 + -7 + 1n = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 1n = 8 + -7 1n = 8 + -7 Combine like terms: 8 + -7 = 1 1n = 1 Divide each side by '1'. n = 1 Simplifying n = 1
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