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Simplifying 2(6v + -5) = -2(7v + -34) Reorder the terms: 2(-5 + 6v) = -2(7v + -34) (-5 * 2 + 6v * 2) = -2(7v + -34) (-10 + 12v) = -2(7v + -34) Reorder the terms: -10 + 12v = -2(-34 + 7v) -10 + 12v = (-34 * -2 + 7v * -2) -10 + 12v = (68 + -14v) Solving -10 + 12v = 68 + -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. -10 + 12v + 14v = 68 + -14v + 14v Combine like terms: 12v + 14v = 26v -10 + 26v = 68 + -14v + 14v Combine like terms: -14v + 14v = 0 -10 + 26v = 68 + 0 -10 + 26v = 68 Add '10' to each side of the equation. -10 + 10 + 26v = 68 + 10 Combine like terms: -10 + 10 = 0 0 + 26v = 68 + 10 26v = 68 + 10 Combine like terms: 68 + 10 = 78 26v = 78 Divide each side by '26'. v = 3 Simplifying v = 3
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