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Simplifying 3v + 19 = -5v + -45 Reorder the terms: 19 + 3v = -5v + -45 Reorder the terms: 19 + 3v = -45 + -5v Solving 19 + 3v = -45 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 19 + 3v + 5v = -45 + -5v + 5v Combine like terms: 3v + 5v = 8v 19 + 8v = -45 + -5v + 5v Combine like terms: -5v + 5v = 0 19 + 8v = -45 + 0 19 + 8v = -45 Add '-19' to each side of the equation. 19 + -19 + 8v = -45 + -19 Combine like terms: 19 + -19 = 0 0 + 8v = -45 + -19 8v = -45 + -19 Combine like terms: -45 + -19 = -64 8v = -64 Divide each side by '8'. v = -8 Simplifying v = -8
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