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Simplifying -2(4v + -3) + 8v = -4(v + 3) Reorder the terms: -2(-3 + 4v) + 8v = -4(v + 3) (-3 * -2 + 4v * -2) + 8v = -4(v + 3) (6 + -8v) + 8v = -4(v + 3) Combine like terms: -8v + 8v = 0 6 + 0 = -4(v + 3) 6 = -4(v + 3) Reorder the terms: 6 = -4(3 + v) 6 = (3 * -4 + v * -4) 6 = (-12 + -4v) Solving 6 = -12 + -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. 6 + 4v = -12 + -4v + 4v Combine like terms: -4v + 4v = 0 6 + 4v = -12 + 0 6 + 4v = -12 Add '-6' to each side of the equation. 6 + -6 + 4v = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 4v = -12 + -6 4v = -12 + -6 Combine like terms: -12 + -6 = -18 4v = -18 Divide each side by '4'. v = -4.5 Simplifying v = -4.5
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