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Simplifying -8(3v + -5) + -6v = -140 Reorder the terms: -8(-5 + 3v) + -6v = -140 (-5 * -8 + 3v * -8) + -6v = -140 (40 + -24v) + -6v = -140 Combine like terms: -24v + -6v = -30v 40 + -30v = -140 Solving 40 + -30v = -140 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -30v = -140 + -40 Combine like terms: 40 + -40 = 0 0 + -30v = -140 + -40 -30v = -140 + -40 Combine like terms: -140 + -40 = -180 -30v = -180 Divide each side by '-30'. v = 6 Simplifying v = 6
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