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Simplifying 3v + -10 = -4v + 12 Reorder the terms: -10 + 3v = -4v + 12 Reorder the terms: -10 + 3v = 12 + -4v Solving -10 + 3v = 12 + -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. -10 + 3v + 4v = 12 + -4v + 4v Combine like terms: 3v + 4v = 7v -10 + 7v = 12 + -4v + 4v Combine like terms: -4v + 4v = 0 -10 + 7v = 12 + 0 -10 + 7v = 12 Add '10' to each side of the equation. -10 + 10 + 7v = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 7v = 12 + 10 7v = 12 + 10 Combine like terms: 12 + 10 = 22 7v = 22 Divide each side by '7'. v = 3.142857143 Simplifying v = 3.142857143
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