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Simplifying 10 + 5v = 7v + -10 Reorder the terms: 10 + 5v = -10 + 7v Solving 10 + 5v = -10 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 10 + 5v + -7v = -10 + 7v + -7v Combine like terms: 5v + -7v = -2v 10 + -2v = -10 + 7v + -7v Combine like terms: 7v + -7v = 0 10 + -2v = -10 + 0 10 + -2v = -10 Add '-10' to each side of the equation. 10 + -10 + -2v = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -2v = -10 + -10 -2v = -10 + -10 Combine like terms: -10 + -10 = -20 -2v = -20 Divide each side by '-2'. v = 10 Simplifying v = 10
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