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Simplifying 7(-7 + 3n) = 7(2n + -7) (-7 * 7 + 3n * 7) = 7(2n + -7) (-49 + 21n) = 7(2n + -7) Reorder the terms: -49 + 21n = 7(-7 + 2n) -49 + 21n = (-7 * 7 + 2n * 7) -49 + 21n = (-49 + 14n) Add '49' to each side of the equation. -49 + 49 + 21n = -49 + 49 + 14n Combine like terms: -49 + 49 = 0 0 + 21n = -49 + 49 + 14n 21n = -49 + 49 + 14n Combine like terms: -49 + 49 = 0 21n = 0 + 14n 21n = 14n Solving 21n = 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. 21n + -14n = 14n + -14n Combine like terms: 21n + -14n = 7n 7n = 14n + -14n Combine like terms: 14n + -14n = 0 7n = 0 Divide each side by '7'. n = 0 Simplifying n = 0
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