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Simplifying 13v + -8v + -12 = -5v + -42 Reorder the terms: -12 + 13v + -8v = -5v + -42 Combine like terms: 13v + -8v = 5v -12 + 5v = -5v + -42 Reorder the terms: -12 + 5v = -42 + -5v Solving -12 + 5v = -42 + -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. -12 + 5v + 5v = -42 + -5v + 5v Combine like terms: 5v + 5v = 10v -12 + 10v = -42 + -5v + 5v Combine like terms: -5v + 5v = 0 -12 + 10v = -42 + 0 -12 + 10v = -42 Add '12' to each side of the equation. -12 + 12 + 10v = -42 + 12 Combine like terms: -12 + 12 = 0 0 + 10v = -42 + 12 10v = -42 + 12 Combine like terms: -42 + 12 = -30 10v = -30 Divide each side by '10'. v = -3 Simplifying v = -3
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