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Simplifying -2(3v + 4) = 5 + 2(-1v + -3) Reorder the terms: -2(4 + 3v) = 5 + 2(-1v + -3) (4 * -2 + 3v * -2) = 5 + 2(-1v + -3) (-8 + -6v) = 5 + 2(-1v + -3) Reorder the terms: -8 + -6v = 5 + 2(-3 + -1v) -8 + -6v = 5 + (-3 * 2 + -1v * 2) -8 + -6v = 5 + (-6 + -2v) Combine like terms: 5 + -6 = -1 -8 + -6v = -1 + -2v Solving -8 + -6v = -1 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -8 + -6v + 2v = -1 + -2v + 2v Combine like terms: -6v + 2v = -4v -8 + -4v = -1 + -2v + 2v Combine like terms: -2v + 2v = 0 -8 + -4v = -1 + 0 -8 + -4v = -1 Add '8' to each side of the equation. -8 + 8 + -4v = -1 + 8 Combine like terms: -8 + 8 = 0 0 + -4v = -1 + 8 -4v = -1 + 8 Combine like terms: -1 + 8 = 7 -4v = 7 Divide each side by '-4'. v = -1.75 Simplifying v = -1.75
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