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Simplifying -6(-7v + -1) = -120 Reorder the terms: -6(-1 + -7v) = -120 (-1 * -6 + -7v * -6) = -120 (6 + 42v) = -120 Solving 6 + 42v = -120 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 42v = -120 + -6 Combine like terms: 6 + -6 = 0 0 + 42v = -120 + -6 42v = -120 + -6 Combine like terms: -120 + -6 = -126 42v = -126 Divide each side by '42'. v = -3 Simplifying v = -3
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