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Simplifying 3v + -12 = -4v + -5 Reorder the terms: -12 + 3v = -4v + -5 Reorder the terms: -12 + 3v = -5 + -4v Solving -12 + 3v = -5 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -12 + 3v + 4v = -5 + -4v + 4v Combine like terms: 3v + 4v = 7v -12 + 7v = -5 + -4v + 4v Combine like terms: -4v + 4v = 0 -12 + 7v = -5 + 0 -12 + 7v = -5 Add '12' to each side of the equation. -12 + 12 + 7v = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 7v = -5 + 12 7v = -5 + 12 Combine like terms: -5 + 12 = 7 7v = 7 Divide each side by '7'. v = 1 Simplifying v = 1
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