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Simplifying -7n + 14 = n + -2 + -6n Reorder the terms: 14 + -7n = n + -2 + -6n Reorder the terms: 14 + -7n = -2 + n + -6n Combine like terms: n + -6n = -5n 14 + -7n = -2 + -5n Solving 14 + -7n = -2 + -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. 14 + -7n + 5n = -2 + -5n + 5n Combine like terms: -7n + 5n = -2n 14 + -2n = -2 + -5n + 5n Combine like terms: -5n + 5n = 0 14 + -2n = -2 + 0 14 + -2n = -2 Add '-14' to each side of the equation. 14 + -14 + -2n = -2 + -14 Combine like terms: 14 + -14 = 0 0 + -2n = -2 + -14 -2n = -2 + -14 Combine like terms: -2 + -14 = -16 -2n = -16 Divide each side by '-2'. n = 8 Simplifying n = 8
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