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Simplifying -119 = -7(6v + -1) Reorder the terms: -119 = -7(-1 + 6v) -119 = (-1 * -7 + 6v * -7) -119 = (7 + -42v) Solving -119 = 7 + -42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '42v' to each side of the equation. -119 + 42v = 7 + -42v + 42v Combine like terms: -42v + 42v = 0 -119 + 42v = 7 + 0 -119 + 42v = 7 Add '119' to each side of the equation. -119 + 119 + 42v = 7 + 119 Combine like terms: -119 + 119 = 0 0 + 42v = 7 + 119 42v = 7 + 119 Combine like terms: 7 + 119 = 126 42v = 126 Divide each side by '42'. v = 3 Simplifying v = 3
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