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Simplifying -7(1 + 3v) = -7(1 + -3v) (1 * -7 + 3v * -7) = -7(1 + -3v) (-7 + -21v) = -7(1 + -3v) -7 + -21v = (1 * -7 + -3v * -7) -7 + -21v = (-7 + 21v) Add '7' to each side of the equation. -7 + 7 + -21v = -7 + 7 + 21v Combine like terms: -7 + 7 = 0 0 + -21v = -7 + 7 + 21v -21v = -7 + 7 + 21v Combine like terms: -7 + 7 = 0 -21v = 0 + 21v -21v = 21v Solving -21v = 21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21v' to each side of the equation. -21v + -21v = 21v + -21v Combine like terms: -21v + -21v = -42v -42v = 21v + -21v Combine like terms: 21v + -21v = 0 -42v = 0 Divide each side by '-42'. v = 0 Simplifying v = 0
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