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Simplifying (6 + -2v + 4x)(-2) = 0 Reorder the terms for easier multiplication: -2(6 + -2v + 4x) = 0 (6 * -2 + -2v * -2 + 4x * -2) = 0 (-12 + 4v + -8x) = 0 Solving -12 + 4v + -8x = 0 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 + 4v + 12 + -8x = 0 + 12 Reorder the terms: -12 + 12 + 4v + -8x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 4v + -8x = 0 + 12 4v + -8x = 0 + 12 Combine like terms: 0 + 12 = 12 4v + -8x = 12 Add '8x' to each side of the equation. 4v + -8x + 8x = 12 + 8x Combine like terms: -8x + 8x = 0 4v + 0 = 12 + 8x 4v = 12 + 8x Divide each side by '4'. v = 3 + 2x Simplifying v = 3 + 2x
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