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Simplifying 1 + -7v = v + 5 + -6v + 12 Reorder the terms: 1 + -7v = 5 + 12 + v + -6v Combine like terms: 5 + 12 = 17 1 + -7v = 17 + v + -6v Combine like terms: v + -6v = -5v 1 + -7v = 17 + -5v Solving 1 + -7v = 17 + -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. 1 + -7v + 5v = 17 + -5v + 5v Combine like terms: -7v + 5v = -2v 1 + -2v = 17 + -5v + 5v Combine like terms: -5v + 5v = 0 1 + -2v = 17 + 0 1 + -2v = 17 Add '-1' to each side of the equation. 1 + -1 + -2v = 17 + -1 Combine like terms: 1 + -1 = 0 0 + -2v = 17 + -1 -2v = 17 + -1 Combine like terms: 17 + -1 = 16 -2v = 16 Divide each side by '-2'. v = -8 Simplifying v = -8
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