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Simplifying 6v + 3(5v + -4) = 12(2v + 5) Reorder the terms: 6v + 3(-4 + 5v) = 12(2v + 5) 6v + (-4 * 3 + 5v * 3) = 12(2v + 5) 6v + (-12 + 15v) = 12(2v + 5) Reorder the terms: -12 + 6v + 15v = 12(2v + 5) Combine like terms: 6v + 15v = 21v -12 + 21v = 12(2v + 5) Reorder the terms: -12 + 21v = 12(5 + 2v) -12 + 21v = (5 * 12 + 2v * 12) -12 + 21v = (60 + 24v) Solving -12 + 21v = 60 + 24v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-24v' to each side of the equation. -12 + 21v + -24v = 60 + 24v + -24v Combine like terms: 21v + -24v = -3v -12 + -3v = 60 + 24v + -24v Combine like terms: 24v + -24v = 0 -12 + -3v = 60 + 0 -12 + -3v = 60 Add '12' to each side of the equation. -12 + 12 + -3v = 60 + 12 Combine like terms: -12 + 12 = 0 0 + -3v = 60 + 12 -3v = 60 + 12 Combine like terms: 60 + 12 = 72 -3v = 72 Divide each side by '-3'. v = -24 Simplifying v = -24
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