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Simplifying -1v + -2 + -2v = -12 + 7v Reorder the terms: -2 + -1v + -2v = -12 + 7v Combine like terms: -1v + -2v = -3v -2 + -3v = -12 + 7v Solving -2 + -3v = -12 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -2 + -3v + -7v = -12 + 7v + -7v Combine like terms: -3v + -7v = -10v -2 + -10v = -12 + 7v + -7v Combine like terms: 7v + -7v = 0 -2 + -10v = -12 + 0 -2 + -10v = -12 Add '2' to each side of the equation. -2 + 2 + -10v = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -10v = -12 + 2 -10v = -12 + 2 Combine like terms: -12 + 2 = -10 -10v = -10 Divide each side by '-10'. v = 1 Simplifying v = 1
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