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Simplifying 10 + -2v = -5v + -7 Reorder the terms: 10 + -2v = -7 + -5v Solving 10 + -2v = -7 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 10 + -2v + 5v = -7 + -5v + 5v Combine like terms: -2v + 5v = 3v 10 + 3v = -7 + -5v + 5v Combine like terms: -5v + 5v = 0 10 + 3v = -7 + 0 10 + 3v = -7 Add '-10' to each side of the equation. 10 + -10 + 3v = -7 + -10 Combine like terms: 10 + -10 = 0 0 + 3v = -7 + -10 3v = -7 + -10 Combine like terms: -7 + -10 = -17 3v = -17 Divide each side by '3'. v = -5.666666667 Simplifying v = -5.666666667
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