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Simplifying 3 + 1 + -7v + -7 = -5v + 3 Reorder the terms: 3 + 1 + -7 + -7v = -5v + 3 Combine like terms: 3 + 1 = 4 4 + -7 + -7v = -5v + 3 Combine like terms: 4 + -7 = -3 -3 + -7v = -5v + 3 Reorder the terms: -3 + -7v = 3 + -5v Solving -3 + -7v = 3 + -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. -3 + -7v + 5v = 3 + -5v + 5v Combine like terms: -7v + 5v = -2v -3 + -2v = 3 + -5v + 5v Combine like terms: -5v + 5v = 0 -3 + -2v = 3 + 0 -3 + -2v = 3 Add '3' to each side of the equation. -3 + 3 + -2v = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -2v = 3 + 3 -2v = 3 + 3 Combine like terms: 3 + 3 = 6 -2v = 6 Divide each side by '-2'. v = -3 Simplifying v = -3
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