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Simplifying 7(v + -5) + -4v = -17 Reorder the terms: 7(-5 + v) + -4v = -17 (-5 * 7 + v * 7) + -4v = -17 (-35 + 7v) + -4v = -17 Combine like terms: 7v + -4v = 3v -35 + 3v = -17 Solving -35 + 3v = -17 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 + 3v = -17 + 35 Combine like terms: -35 + 35 = 0 0 + 3v = -17 + 35 3v = -17 + 35 Combine like terms: -17 + 35 = 18 3v = 18 Divide each side by '3'. v = 6 Simplifying v = 6
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