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Simplifying 7n + 14 = -2n + 50 Reorder the terms: 14 + 7n = -2n + 50 Reorder the terms: 14 + 7n = 50 + -2n Solving 14 + 7n = 50 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 14 + 7n + 2n = 50 + -2n + 2n Combine like terms: 7n + 2n = 9n 14 + 9n = 50 + -2n + 2n Combine like terms: -2n + 2n = 0 14 + 9n = 50 + 0 14 + 9n = 50 Add '-14' to each side of the equation. 14 + -14 + 9n = 50 + -14 Combine like terms: 14 + -14 = 0 0 + 9n = 50 + -14 9n = 50 + -14 Combine like terms: 50 + -14 = 36 9n = 36 Divide each side by '9'. n = 4 Simplifying n = 4
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