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Simplifying 2(4v + -4) + -4(v + 6) = 0 Reorder the terms: 2(-4 + 4v) + -4(v + 6) = 0 (-4 * 2 + 4v * 2) + -4(v + 6) = 0 (-8 + 8v) + -4(v + 6) = 0 Reorder the terms: -8 + 8v + -4(6 + v) = 0 -8 + 8v + (6 * -4 + v * -4) = 0 -8 + 8v + (-24 + -4v) = 0 Reorder the terms: -8 + -24 + 8v + -4v = 0 Combine like terms: -8 + -24 = -32 -32 + 8v + -4v = 0 Combine like terms: 8v + -4v = 4v -32 + 4v = 0 Solving -32 + 4v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 4v = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 4v = 0 + 32 4v = 0 + 32 Combine like terms: 0 + 32 = 32 4v = 32 Divide each side by '4'. v = 8 Simplifying v = 8
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