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Simplifying -14 + -6v = 42 + -2(2v + 17) Reorder the terms: -14 + -6v = 42 + -2(17 + 2v) -14 + -6v = 42 + (17 * -2 + 2v * -2) -14 + -6v = 42 + (-34 + -4v) Combine like terms: 42 + -34 = 8 -14 + -6v = 8 + -4v Solving -14 + -6v = 8 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -14 + -6v + 4v = 8 + -4v + 4v Combine like terms: -6v + 4v = -2v -14 + -2v = 8 + -4v + 4v Combine like terms: -4v + 4v = 0 -14 + -2v = 8 + 0 -14 + -2v = 8 Add '14' to each side of the equation. -14 + 14 + -2v = 8 + 14 Combine like terms: -14 + 14 = 0 0 + -2v = 8 + 14 -2v = 8 + 14 Combine like terms: 8 + 14 = 22 -2v = 22 Divide each side by '-2'. v = -11 Simplifying v = -11
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