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Simplifying 2v + -12 = -2v + -1(-16) Reorder the terms: -12 + 2v = -2v + -1(-16) Multiply -1 * -16 -12 + 2v = -2v + 16 Reorder the terms: -12 + 2v = 16 + -2v Solving -12 + 2v = 16 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -12 + 2v + 2v = 16 + -2v + 2v Combine like terms: 2v + 2v = 4v -12 + 4v = 16 + -2v + 2v Combine like terms: -2v + 2v = 0 -12 + 4v = 16 + 0 -12 + 4v = 16 Add '12' to each side of the equation. -12 + 12 + 4v = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 4v = 16 + 12 4v = 16 + 12 Combine like terms: 16 + 12 = 28 4v = 28 Divide each side by '4'. v = 7 Simplifying v = 7
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