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Simplifying -2n + 6 = -7 + 1 + -5n + 6 Reorder the terms: 6 + -2n = -7 + 1 + -5n + 6 Reorder the terms: 6 + -2n = -7 + 1 + 6 + -5n Combine like terms: -7 + 1 = -6 6 + -2n = -6 + 6 + -5n Combine like terms: -6 + 6 = 0 6 + -2n = 0 + -5n 6 + -2n = -5n Solving 6 + -2n = -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 6 + -2n + 5n = -5n + 5n Combine like terms: -2n + 5n = 3n 6 + 3n = -5n + 5n Combine like terms: -5n + 5n = 0 6 + 3n = 0 Add '-6' to each side of the equation. 6 + -6 + 3n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3n = 0 + -6 3n = 0 + -6 Combine like terms: 0 + -6 = -6 3n = -6 Divide each side by '3'. n = -2 Simplifying n = -2
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