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Simplifying -4(v + -2) = -2(x + 3) + -5x Reorder the terms: -4(-2 + v) = -2(x + 3) + -5x (-2 * -4 + v * -4) = -2(x + 3) + -5x (8 + -4v) = -2(x + 3) + -5x Reorder the terms: 8 + -4v = -2(3 + x) + -5x 8 + -4v = (3 * -2 + x * -2) + -5x 8 + -4v = (-6 + -2x) + -5x Combine like terms: -2x + -5x = -7x 8 + -4v = -6 + -7x Solving 8 + -4v = -6 + -7x 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 + -8 + -4v = -6 + -8 + -7x Combine like terms: 8 + -8 = 0 0 + -4v = -6 + -8 + -7x -4v = -6 + -8 + -7x Combine like terms: -6 + -8 = -14 -4v = -14 + -7x Divide each side by '-4'. v = 3.5 + 1.75x Simplifying v = 3.5 + 1.75x
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