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Simplifying -7(n + -2) = 2 + -5n Reorder the terms: -7(-2 + n) = 2 + -5n (-2 * -7 + n * -7) = 2 + -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 = -12 -2n = -12 Divide each side by '-2'. n = 6 Simplifying n = 6
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