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Simplifying -2(6v + 3) = 34 + 7v Reorder the terms: -2(3 + 6v) = 34 + 7v (3 * -2 + 6v * -2) = 34 + 7v (-6 + -12v) = 34 + 7v Solving -6 + -12v = 34 + 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. -6 + -12v + -7v = 34 + 7v + -7v Combine like terms: -12v + -7v = -19v -6 + -19v = 34 + 7v + -7v Combine like terms: 7v + -7v = 0 -6 + -19v = 34 + 0 -6 + -19v = 34 Add '6' to each side of the equation. -6 + 6 + -19v = 34 + 6 Combine like terms: -6 + 6 = 0 0 + -19v = 34 + 6 -19v = 34 + 6 Combine like terms: 34 + 6 = 40 -19v = 40 Divide each side by '-19'. v = -2.105263158 Simplifying v = -2.105263158
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