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Simplifying 1 + 5v + -3v + -3 + -2v = -2(v + -6) Reorder the terms: 1 + -3 + 5v + -3v + -2v = -2(v + -6) Combine like terms: 1 + -3 = -2 -2 + 5v + -3v + -2v = -2(v + -6) Combine like terms: 5v + -3v = 2v -2 + 2v + -2v = -2(v + -6) Combine like terms: 2v + -2v = 0 -2 + 0 = -2(v + -6) -2 = -2(v + -6) Reorder the terms: -2 = -2(-6 + v) -2 = (-6 * -2 + v * -2) -2 = (12 + -2v) Solving -2 = 12 + -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. -2 + 2v = 12 + -2v + 2v Combine like terms: -2v + 2v = 0 -2 + 2v = 12 + 0 -2 + 2v = 12 Add '2' to each side of the equation. -2 + 2 + 2v = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 2v = 12 + 2 2v = 12 + 2 Combine like terms: 12 + 2 = 14 2v = 14 Divide each side by '2'. v = 7 Simplifying v = 7
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