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Simplifying -8v + 7 = -5v + 10 Reorder the terms: 7 + -8v = -5v + 10 Reorder the terms: 7 + -8v = 10 + -5v Solving 7 + -8v = 10 + -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. 7 + -8v + 5v = 10 + -5v + 5v Combine like terms: -8v + 5v = -3v 7 + -3v = 10 + -5v + 5v Combine like terms: -5v + 5v = 0 7 + -3v = 10 + 0 7 + -3v = 10 Add '-7' to each side of the equation. 7 + -7 + -3v = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -3v = 10 + -7 -3v = 10 + -7 Combine like terms: 10 + -7 = 3 -3v = 3 Divide each side by '-3'. v = -1 Simplifying v = -1
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