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Simplifying -7(v + -5) = -7(4 + -2v) Reorder the terms: -7(-5 + v) = -7(4 + -2v) (-5 * -7 + v * -7) = -7(4 + -2v) (35 + -7v) = -7(4 + -2v) 35 + -7v = (4 * -7 + -2v * -7) 35 + -7v = (-28 + 14v) Solving 35 + -7v = -28 + 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. 35 + -7v + -14v = -28 + 14v + -14v Combine like terms: -7v + -14v = -21v 35 + -21v = -28 + 14v + -14v Combine like terms: 14v + -14v = 0 35 + -21v = -28 + 0 35 + -21v = -28 Add '-35' to each side of the equation. 35 + -35 + -21v = -28 + -35 Combine like terms: 35 + -35 = 0 0 + -21v = -28 + -35 -21v = -28 + -35 Combine like terms: -28 + -35 = -63 -21v = -63 Divide each side by '-21'. v = 3 Simplifying v = 3
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