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Simplifying -7v + -2(4 + -1v) = -3v + 2(-6 + -2v) -7v + (4 * -2 + -1v * -2) = -3v + 2(-6 + -2v) -7v + (-8 + 2v) = -3v + 2(-6 + -2v) Reorder the terms: -8 + -7v + 2v = -3v + 2(-6 + -2v) Combine like terms: -7v + 2v = -5v -8 + -5v = -3v + 2(-6 + -2v) -8 + -5v = -3v + (-6 * 2 + -2v * 2) -8 + -5v = -3v + (-12 + -4v) Reorder the terms: -8 + -5v = -12 + -3v + -4v Combine like terms: -3v + -4v = -7v -8 + -5v = -12 + -7v Solving -8 + -5v = -12 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -8 + -5v + 7v = -12 + -7v + 7v Combine like terms: -5v + 7v = 2v -8 + 2v = -12 + -7v + 7v Combine like terms: -7v + 7v = 0 -8 + 2v = -12 + 0 -8 + 2v = -12 Add '8' to each side of the equation. -8 + 8 + 2v = -12 + 8 Combine like terms: -8 + 8 = 0 0 + 2v = -12 + 8 2v = -12 + 8 Combine like terms: -12 + 8 = -4 2v = -4 Divide each side by '2'. v = -2 Simplifying v = -2
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