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Simplifying 10 + -2v = 5 + -1v + -50 Reorder the terms: 10 + -2v = 5 + -50 + -1v Combine like terms: 5 + -50 = -45 10 + -2v = -45 + -1v Solving 10 + -2v = -45 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 10 + -2v + v = -45 + -1v + v Combine like terms: -2v + v = -1v 10 + -1v = -45 + -1v + v Combine like terms: -1v + v = 0 10 + -1v = -45 + 0 10 + -1v = -45 Add '-10' to each side of the equation. 10 + -10 + -1v = -45 + -10 Combine like terms: 10 + -10 = 0 0 + -1v = -45 + -10 -1v = -45 + -10 Combine like terms: -45 + -10 = -55 -1v = -55 Divide each side by '-1'. v = 55 Simplifying v = 55
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