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Simplifying -7(n + 7) = 4n + -16 Reorder the terms: -7(7 + n) = 4n + -16 (7 * -7 + n * -7) = 4n + -16 (-49 + -7n) = 4n + -16 Reorder the terms: -49 + -7n = -16 + 4n Solving -49 + -7n = -16 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -49 + -7n + -4n = -16 + 4n + -4n Combine like terms: -7n + -4n = -11n -49 + -11n = -16 + 4n + -4n Combine like terms: 4n + -4n = 0 -49 + -11n = -16 + 0 -49 + -11n = -16 Add '49' to each side of the equation. -49 + 49 + -11n = -16 + 49 Combine like terms: -49 + 49 = 0 0 + -11n = -16 + 49 -11n = -16 + 49 Combine like terms: -16 + 49 = 33 -11n = 33 Divide each side by '-11'. n = -3 Simplifying n = -3
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