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Simplifying 3(2v + -4) + -2v = 24 Reorder the terms: 3(-4 + 2v) + -2v = 24 (-4 * 3 + 2v * 3) + -2v = 24 (-12 + 6v) + -2v = 24 Combine like terms: 6v + -2v = 4v -12 + 4v = 24 Solving -12 + 4v = 24 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4v = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 4v = 24 + 12 4v = 24 + 12 Combine like terms: 24 + 12 = 36 4v = 36 Divide each side by '4'. v = 9 Simplifying v = 9
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