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Simplifying 4(n + 7) = -7(n + 7) Reorder the terms: 4(7 + n) = -7(n + 7) (7 * 4 + n * 4) = -7(n + 7) (28 + 4n) = -7(n + 7) Reorder the terms: 28 + 4n = -7(7 + n) 28 + 4n = (7 * -7 + n * -7) 28 + 4n = (-49 + -7n) Solving 28 + 4n = -49 + -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. 28 + 4n + 7n = -49 + -7n + 7n Combine like terms: 4n + 7n = 11n 28 + 11n = -49 + -7n + 7n Combine like terms: -7n + 7n = 0 28 + 11n = -49 + 0 28 + 11n = -49 Add '-28' to each side of the equation. 28 + -28 + 11n = -49 + -28 Combine like terms: 28 + -28 = 0 0 + 11n = -49 + -28 11n = -49 + -28 Combine like terms: -49 + -28 = -77 11n = -77 Divide each side by '11'. n = -7 Simplifying n = -7
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