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Simplifying 14 + 2n = 3 + -5(n + -5) Reorder the terms: 14 + 2n = 3 + -5(-5 + n) 14 + 2n = 3 + (-5 * -5 + n * -5) 14 + 2n = 3 + (25 + -5n) Combine like terms: 3 + 25 = 28 14 + 2n = 28 + -5n Solving 14 + 2n = 28 + -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 + 2n + 5n = 28 + -5n + 5n Combine like terms: 2n + 5n = 7n 14 + 7n = 28 + -5n + 5n Combine like terms: -5n + 5n = 0 14 + 7n = 28 + 0 14 + 7n = 28 Add '-14' to each side of the equation. 14 + -14 + 7n = 28 + -14 Combine like terms: 14 + -14 = 0 0 + 7n = 28 + -14 7n = 28 + -14 Combine like terms: 28 + -14 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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