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Simplifying 3v + -8v + -12 = 5v + -42 Reorder the terms: -12 + 3v + -8v = 5v + -42 Combine like terms: 3v + -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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