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Simplifying -140 = -5(7v + -7) Reorder the terms: -140 = -5(-7 + 7v) -140 = (-7 * -5 + 7v * -5) -140 = (35 + -35v) Solving -140 = 35 + -35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '35v' to each side of the equation. -140 + 35v = 35 + -35v + 35v Combine like terms: -35v + 35v = 0 -140 + 35v = 35 + 0 -140 + 35v = 35 Add '140' to each side of the equation. -140 + 140 + 35v = 35 + 140 Combine like terms: -140 + 140 = 0 0 + 35v = 35 + 140 35v = 35 + 140 Combine like terms: 35 + 140 = 175 35v = 175 Divide each side by '35'. v = 5 Simplifying v = 5
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