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Simplifying 2(-7 + -3v) = -4 + 2(1 + -2v) (-7 * 2 + -3v * 2) = -4 + 2(1 + -2v) (-14 + -6v) = -4 + 2(1 + -2v) -14 + -6v = -4 + (1 * 2 + -2v * 2) -14 + -6v = -4 + (2 + -4v) Combine like terms: -4 + 2 = -2 -14 + -6v = -2 + -4v Solving -14 + -6v = -2 + -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 = -2 + -4v + 4v Combine like terms: -6v + 4v = -2v -14 + -2v = -2 + -4v + 4v Combine like terms: -4v + 4v = 0 -14 + -2v = -2 + 0 -14 + -2v = -2 Add '14' to each side of the equation. -14 + 14 + -2v = -2 + 14 Combine like terms: -14 + 14 = 0 0 + -2v = -2 + 14 -2v = -2 + 14 Combine like terms: -2 + 14 = 12 -2v = 12 Divide each side by '-2'. v = -6 Simplifying v = -6
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