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Simplifying -2(3v + -7) = 17 + -5v Reorder the terms: -2(-7 + 3v) = 17 + -5v (-7 * -2 + 3v * -2) = 17 + -5v (14 + -6v) = 17 + -5v Solving 14 + -6v = 17 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 14 + -6v + 5v = 17 + -5v + 5v Combine like terms: -6v + 5v = -1v 14 + -1v = 17 + -5v + 5v Combine like terms: -5v + 5v = 0 14 + -1v = 17 + 0 14 + -1v = 17 Add '-14' to each side of the equation. 14 + -14 + -1v = 17 + -14 Combine like terms: 14 + -14 = 0 0 + -1v = 17 + -14 -1v = 17 + -14 Combine like terms: 17 + -14 = 3 -1v = 3 Divide each side by '-1'. v = -3 Simplifying v = -3
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