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Simplifying 14 + -2n = -7(n + 2) + -7 Reorder the terms: 14 + -2n = -7(2 + n) + -7 14 + -2n = (2 * -7 + n * -7) + -7 14 + -2n = (-14 + -7n) + -7 Reorder the terms: 14 + -2n = -14 + -7 + -7n Combine like terms: -14 + -7 = -21 14 + -2n = -21 + -7n Solving 14 + -2n = -21 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 14 + -2n + 7n = -21 + -7n + 7n Combine like terms: -2n + 7n = 5n 14 + 5n = -21 + -7n + 7n Combine like terms: -7n + 7n = 0 14 + 5n = -21 + 0 14 + 5n = -21 Add '-14' to each side of the equation. 14 + -14 + 5n = -21 + -14 Combine like terms: 14 + -14 = 0 0 + 5n = -21 + -14 5n = -21 + -14 Combine like terms: -21 + -14 = -35 5n = -35 Divide each side by '5'. n = -7 Simplifying n = -7
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