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Simplifying 7(-3v + 1) = 14v Reorder the terms: 7(1 + -3v) = 14v (1 * 7 + -3v * 7) = 14v (7 + -21v) = 14v Solving 7 + -21v = 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. 7 + -21v + -14v = 14v + -14v Combine like terms: -21v + -14v = -35v 7 + -35v = 14v + -14v Combine like terms: 14v + -14v = 0 7 + -35v = 0 Add '-7' to each side of the equation. 7 + -7 + -35v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -35v = 0 + -7 -35v = 0 + -7 Combine like terms: 0 + -7 = -7 -35v = -7 Divide each side by '-35'. v = 0.2 Simplifying v = 0.2
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