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