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Simplifying 1 + -4v = 9 + -1v + -1v Combine like terms: -1v + -1v = -2v 1 + -4v = 9 + -2v Solving 1 + -4v = 9 + -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. 1 + -4v + 2v = 9 + -2v + 2v Combine like terms: -4v + 2v = -2v 1 + -2v = 9 + -2v + 2v Combine like terms: -2v + 2v = 0 1 + -2v = 9 + 0 1 + -2v = 9 Add '-1' to each side of the equation. 1 + -1 + -2v = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -2v = 9 + -1 -2v = 9 + -1 Combine like terms: 9 + -1 = 8 -2v = 8 Divide each side by '-2'. v = -4 Simplifying v = -4
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