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Simplifying -35 + -3v = 5(4v + -8) Reorder the terms: -35 + -3v = 5(-8 + 4v) -35 + -3v = (-8 * 5 + 4v * 5) -35 + -3v = (-40 + 20v) Solving -35 + -3v = -40 + 20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20v' to each side of the equation. -35 + -3v + -20v = -40 + 20v + -20v Combine like terms: -3v + -20v = -23v -35 + -23v = -40 + 20v + -20v Combine like terms: 20v + -20v = 0 -35 + -23v = -40 + 0 -35 + -23v = -40 Add '35' to each side of the equation. -35 + 35 + -23v = -40 + 35 Combine like terms: -35 + 35 = 0 0 + -23v = -40 + 35 -23v = -40 + 35 Combine like terms: -40 + 35 = -5 -23v = -5 Divide each side by '-23'. v = 0.2173913043 Simplifying v = 0.2173913043
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