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Simplifying -7 + -3v = 2v + 40 Reorder the terms: -7 + -3v = 40 + 2v Solving -7 + -3v = 40 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -7 + -3v + -2v = 40 + 2v + -2v Combine like terms: -3v + -2v = -5v -7 + -5v = 40 + 2v + -2v Combine like terms: 2v + -2v = 0 -7 + -5v = 40 + 0 -7 + -5v = 40 Add '7' to each side of the equation. -7 + 7 + -5v = 40 + 7 Combine like terms: -7 + 7 = 0 0 + -5v = 40 + 7 -5v = 40 + 7 Combine like terms: 40 + 7 = 47 -5v = 47 Divide each side by '-5'. v = -9.4 Simplifying v = -9.4
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