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Simplifying -1v + 5 + -6v = 1 + -5v + -3 Reorder the terms: 5 + -1v + -6v = 1 + -5v + -3 Combine like terms: -1v + -6v = -7v 5 + -7v = 1 + -5v + -3 Reorder the terms: 5 + -7v = 1 + -3 + -5v Combine like terms: 1 + -3 = -2 5 + -7v = -2 + -5v Solving 5 + -7v = -2 + -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. 5 + -7v + 5v = -2 + -5v + 5v Combine like terms: -7v + 5v = -2v 5 + -2v = -2 + -5v + 5v Combine like terms: -5v + 5v = 0 5 + -2v = -2 + 0 5 + -2v = -2 Add '-5' to each side of the equation. 5 + -5 + -2v = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -2v = -2 + -5 -2v = -2 + -5 Combine like terms: -2 + -5 = -7 -2v = -7 Divide each side by '-2'. v = 3.5 Simplifying v = 3.5
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