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Simplifying 8 + 4n = -7(n + 2) Reorder the terms: 8 + 4n = -7(2 + n) 8 + 4n = (2 * -7 + n * -7) 8 + 4n = (-14 + -7n) Solving 8 + 4n = -14 + -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. 8 + 4n + 7n = -14 + -7n + 7n Combine like terms: 4n + 7n = 11n 8 + 11n = -14 + -7n + 7n Combine like terms: -7n + 7n = 0 8 + 11n = -14 + 0 8 + 11n = -14 Add '-8' to each side of the equation. 8 + -8 + 11n = -14 + -8 Combine like terms: 8 + -8 = 0 0 + 11n = -14 + -8 11n = -14 + -8 Combine like terms: -14 + -8 = -22 11n = -22 Divide each side by '11'. n = -2 Simplifying n = -2
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