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Simplifying -7(5v + 8) = 34 Reorder the terms: -7(8 + 5v) = 34 (8 * -7 + 5v * -7) = 34 (-56 + -35v) = 34 Solving -56 + -35v = 34 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + -35v = 34 + 56 Combine like terms: -56 + 56 = 0 0 + -35v = 34 + 56 -35v = 34 + 56 Combine like terms: 34 + 56 = 90 -35v = 90 Divide each side by '-35'. v = -2.571428571 Simplifying v = -2.571428571
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