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Simplifying -5(v + -7) = -2v + 17 Reorder the terms: -5(-7 + v) = -2v + 17 (-7 * -5 + v * -5) = -2v + 17 (35 + -5v) = -2v + 17 Reorder the terms: 35 + -5v = 17 + -2v Solving 35 + -5v = 17 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 35 + -5v + 2v = 17 + -2v + 2v Combine like terms: -5v + 2v = -3v 35 + -3v = 17 + -2v + 2v Combine like terms: -2v + 2v = 0 35 + -3v = 17 + 0 35 + -3v = 17 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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