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Simplifying -1(2n + 6) + 7 = 4 + -5n Reorder the terms: -1(6 + 2n) + 7 = 4 + -5n (6 * -1 + 2n * -1) + 7 = 4 + -5n (-6 + -2n) + 7 = 4 + -5n Reorder the terms: -6 + 7 + -2n = 4 + -5n Combine like terms: -6 + 7 = 1 1 + -2n = 4 + -5n Solving 1 + -2n = 4 + -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. 1 + -2n + 5n = 4 + -5n + 5n Combine like terms: -2n + 5n = 3n 1 + 3n = 4 + -5n + 5n Combine like terms: -5n + 5n = 0 1 + 3n = 4 + 0 1 + 3n = 4 Add '-1' to each side of the equation. 1 + -1 + 3n = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 3n = 4 + -1 3n = 4 + -1 Combine like terms: 4 + -1 = 3 3n = 3 Divide each side by '3'. n = 1 Simplifying n = 1
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