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Simplifying 19v + -4v + 23 = 8v + -19 Reorder the terms: 23 + 19v + -4v = 8v + -19 Combine like terms: 19v + -4v = 15v 23 + 15v = 8v + -19 Reorder the terms: 23 + 15v = -19 + 8v Solving 23 + 15v = -19 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 23 + 15v + -8v = -19 + 8v + -8v Combine like terms: 15v + -8v = 7v 23 + 7v = -19 + 8v + -8v Combine like terms: 8v + -8v = 0 23 + 7v = -19 + 0 23 + 7v = -19 Add '-23' to each side of the equation. 23 + -23 + 7v = -19 + -23 Combine like terms: 23 + -23 = 0 0 + 7v = -19 + -23 7v = -19 + -23 Combine like terms: -19 + -23 = -42 7v = -42 Divide each side by '7'. v = -6 Simplifying v = -6
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