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Simplifying -15v + 12v + 9 = 4V + 42 Reorder the terms: 9 + -15v + 12v = 4V + 42 Combine like terms: -15v + 12v = -3v 9 + -3v = 4V + 42 Reorder the terms: 9 + -3v = 42 + 4V Solving 9 + -3v = 42 + 4V Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -3v = 42 + -9 + 4V Combine like terms: 9 + -9 = 0 0 + -3v = 42 + -9 + 4V -3v = 42 + -9 + 4V Combine like terms: 42 + -9 = 33 -3v = 33 + 4V Divide each side by '-3'. v = -11 + -1.333333333V Simplifying v = -11 + -1.333333333V
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