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Simplifying 7(6v + -5) = 217 Reorder the terms: 7(-5 + 6v) = 217 (-5 * 7 + 6v * 7) = 217 (-35 + 42v) = 217 Solving -35 + 42v = 217 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 42v = 217 + 35 Combine like terms: -35 + 35 = 0 0 + 42v = 217 + 35 42v = 217 + 35 Combine like terms: 217 + 35 = 252 42v = 252 Divide each side by '42'. v = 6 Simplifying v = 6
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