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Simplifying 6v + 3(5v + -4) = 12 Reorder the terms: 6v + 3(-4 + 5v) = 12 6v + (-4 * 3 + 5v * 3) = 12 6v + (-12 + 15v) = 12 Reorder the terms: -12 + 6v + 15v = 12 Combine like terms: 6v + 15v = 21v -12 + 21v = 12 Solving -12 + 21v = 12 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 + 21v = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 21v = 12 + 12 21v = 12 + 12 Combine like terms: 12 + 12 = 24 21v = 24 Divide each side by '21'. v = 1.142857143 Simplifying v = 1.142857143
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