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Simplifying 4(v + -3) + -8v = 8 Reorder the terms: 4(-3 + v) + -8v = 8 (-3 * 4 + v * 4) + -8v = 8 (-12 + 4v) + -8v = 8 Combine like terms: 4v + -8v = -4v -12 + -4v = 8 Solving -12 + -4v = 8 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 = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -4v = 8 + 12 -4v = 8 + 12 Combine like terms: 8 + 12 = 20 -4v = 20 Divide each side by '-4'. v = -5 Simplifying v = -5
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