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Simplifying 6v + -34 = 2(v + -3) Reorder the terms: -34 + 6v = 2(v + -3) Reorder the terms: -34 + 6v = 2(-3 + v) -34 + 6v = (-3 * 2 + v * 2) -34 + 6v = (-6 + 2v) Solving -34 + 6v = -6 + 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. -34 + 6v + -2v = -6 + 2v + -2v Combine like terms: 6v + -2v = 4v -34 + 4v = -6 + 2v + -2v Combine like terms: 2v + -2v = 0 -34 + 4v = -6 + 0 -34 + 4v = -6 Add '34' to each side of the equation. -34 + 34 + 4v = -6 + 34 Combine like terms: -34 + 34 = 0 0 + 4v = -6 + 34 4v = -6 + 34 Combine like terms: -6 + 34 = 28 4v = 28 Divide each side by '4'. v = 7 Simplifying v = 7
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