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Simplifying -3v + 10 = 40 + -6v Reorder the terms: 10 + -3v = 40 + -6v Solving 10 + -3v = 40 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 10 + -3v + 6v = 40 + -6v + 6v Combine like terms: -3v + 6v = 3v 10 + 3v = 40 + -6v + 6v Combine like terms: -6v + 6v = 0 10 + 3v = 40 + 0 10 + 3v = 40 Add '-10' to each side of the equation. 10 + -10 + 3v = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 3v = 40 + -10 3v = 40 + -10 Combine like terms: 40 + -10 = 30 3v = 30 Divide each side by '3'. v = 10 Simplifying v = 10
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