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Simplifying -7(3v + -2) + -2v = -170 Reorder the terms: -7(-2 + 3v) + -2v = -170 (-2 * -7 + 3v * -7) + -2v = -170 (14 + -21v) + -2v = -170 Combine like terms: -21v + -2v = -23v 14 + -23v = -170 Solving 14 + -23v = -170 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -23v = -170 + -14 Combine like terms: 14 + -14 = 0 0 + -23v = -170 + -14 -23v = -170 + -14 Combine like terms: -170 + -14 = -184 -23v = -184 Divide each side by '-23'. v = 8 Simplifying v = 8
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