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Simplifying -10 + 1v + -9 = 6v + -42 + -6v Reorder the terms: -10 + -9 + 1v = 6v + -42 + -6v Combine like terms: -10 + -9 = -19 -19 + 1v = 6v + -42 + -6v Reorder the terms: -19 + 1v = -42 + 6v + -6v Combine like terms: 6v + -6v = 0 -19 + 1v = -42 + 0 -19 + 1v = -42 Solving -19 + 1v = -42 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 1v = -42 + 19 Combine like terms: -19 + 19 = 0 0 + 1v = -42 + 19 1v = -42 + 19 Combine like terms: -42 + 19 = -23 1v = -23 Divide each side by '1'. v = -23 Simplifying v = -23
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