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Simplifying 18v + -24v + 31v + -3v + -24v + -45 = 19 Reorder the terms: -45 + 18v + -24v + 31v + -3v + -24v = 19 Combine like terms: 18v + -24v = -6v -45 + -6v + 31v + -3v + -24v = 19 Combine like terms: -6v + 31v = 25v -45 + 25v + -3v + -24v = 19 Combine like terms: 25v + -3v = 22v -45 + 22v + -24v = 19 Combine like terms: 22v + -24v = -2v -45 + -2v = 19 Solving -45 + -2v = 19 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -2v = 19 + 45 Combine like terms: -45 + 45 = 0 0 + -2v = 19 + 45 -2v = 19 + 45 Combine like terms: 19 + 45 = 64 -2v = 64 Divide each side by '-2'. v = -32 Simplifying v = -32
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