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Simplifying 4(2v + -5) + -2(v + 6) = 0 Reorder the terms: 4(-5 + 2v) + -2(v + 6) = 0 (-5 * 4 + 2v * 4) + -2(v + 6) = 0 (-20 + 8v) + -2(v + 6) = 0 Reorder the terms: -20 + 8v + -2(6 + v) = 0 -20 + 8v + (6 * -2 + v * -2) = 0 -20 + 8v + (-12 + -2v) = 0 Reorder the terms: -20 + -12 + 8v + -2v = 0 Combine like terms: -20 + -12 = -32 -32 + 8v + -2v = 0 Combine like terms: 8v + -2v = 6v -32 + 6v = 0 Solving -32 + 6v = 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 + 6v = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 6v = 0 + 32 6v = 0 + 32 Combine like terms: 0 + 32 = 32 6v = 32 Divide each side by '6'. v = 5.333333333 Simplifying v = 5.333333333
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