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Simplifying -7(7 + -4n) = -7 + 7n (7 * -7 + -4n * -7) = -7 + 7n (-49 + 28n) = -7 + 7n Solving -49 + 28n = -7 + 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. -49 + 28n + -7n = -7 + 7n + -7n Combine like terms: 28n + -7n = 21n -49 + 21n = -7 + 7n + -7n Combine like terms: 7n + -7n = 0 -49 + 21n = -7 + 0 -49 + 21n = -7 Add '49' to each side of the equation. -49 + 49 + 21n = -7 + 49 Combine like terms: -49 + 49 = 0 0 + 21n = -7 + 49 21n = -7 + 49 Combine like terms: -7 + 49 = 42 21n = 42 Divide each side by '21'. n = 2 Simplifying n = 2
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