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Simplifying 1 + -4v = -10 + 1 + -3v + -3v Combine like terms: -10 + 1 = -9 1 + -4v = -9 + -3v + -3v Combine like terms: -3v + -3v = -6v 1 + -4v = -9 + -6v Solving 1 + -4v = -9 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 1 + -4v + 6v = -9 + -6v + 6v Combine like terms: -4v + 6v = 2v 1 + 2v = -9 + -6v + 6v Combine like terms: -6v + 6v = 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 = -10 2v = -10 Divide each side by '2'. v = -5 Simplifying v = -5
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