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Simplifying 2(2v + -4) = 4(3 + -1v) + -44 Reorder the terms: 2(-4 + 2v) = 4(3 + -1v) + -44 (-4 * 2 + 2v * 2) = 4(3 + -1v) + -44 (-8 + 4v) = 4(3 + -1v) + -44 -8 + 4v = (3 * 4 + -1v * 4) + -44 -8 + 4v = (12 + -4v) + -44 Reorder the terms: -8 + 4v = 12 + -44 + -4v Combine like terms: 12 + -44 = -32 -8 + 4v = -32 + -4v Solving -8 + 4v = -32 + -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. -8 + 4v + 4v = -32 + -4v + 4v Combine like terms: 4v + 4v = 8v -8 + 8v = -32 + -4v + 4v Combine like terms: -4v + 4v = 0 -8 + 8v = -32 + 0 -8 + 8v = -32 Add '8' to each side of the equation. -8 + 8 + 8v = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 8v = -32 + 8 8v = -32 + 8 Combine like terms: -32 + 8 = -24 8v = -24 Divide each side by '8'. v = -3 Simplifying v = -3
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