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Simplifying 14 = -7(n + 3) + -7(n + 5) Reorder the terms: 14 = -7(3 + n) + -7(n + 5) 14 = (3 * -7 + n * -7) + -7(n + 5) 14 = (-21 + -7n) + -7(n + 5) Reorder the terms: 14 = -21 + -7n + -7(5 + n) 14 = -21 + -7n + (5 * -7 + n * -7) 14 = -21 + -7n + (-35 + -7n) Reorder the terms: 14 = -21 + -35 + -7n + -7n Combine like terms: -21 + -35 = -56 14 = -56 + -7n + -7n Combine like terms: -7n + -7n = -14n 14 = -56 + -14n Solving 14 = -56 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. 14 + 14n = -56 + -14n + 14n Combine like terms: -14n + 14n = 0 14 + 14n = -56 + 0 14 + 14n = -56 Add '-14' to each side of the equation. 14 + -14 + 14n = -56 + -14 Combine like terms: 14 + -14 = 0 0 + 14n = -56 + -14 14n = -56 + -14 Combine like terms: -56 + -14 = -70 14n = -70 Divide each side by '14'. n = -5 Simplifying n = -5
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