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Simplifying 10v + -9 = 10 + -4v + 9 Reorder the terms: -9 + 10v = 10 + -4v + 9 Reorder the terms: -9 + 10v = 10 + 9 + -4v Combine like terms: 10 + 9 = 19 -9 + 10v = 19 + -4v Solving -9 + 10v = 19 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -9 + 10v + 4v = 19 + -4v + 4v Combine like terms: 10v + 4v = 14v -9 + 14v = 19 + -4v + 4v Combine like terms: -4v + 4v = 0 -9 + 14v = 19 + 0 -9 + 14v = 19 Add '9' to each side of the equation. -9 + 9 + 14v = 19 + 9 Combine like terms: -9 + 9 = 0 0 + 14v = 19 + 9 14v = 19 + 9 Combine like terms: 19 + 9 = 28 14v = 28 Divide each side by '14'. v = 2 Simplifying v = 2
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