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Simplifying -34 + 6v = -7(4v + -1) + -7v Reorder the terms: -34 + 6v = -7(-1 + 4v) + -7v -34 + 6v = (-1 * -7 + 4v * -7) + -7v -34 + 6v = (7 + -28v) + -7v Combine like terms: -28v + -7v = -35v -34 + 6v = 7 + -35v Solving -34 + 6v = 7 + -35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '35v' to each side of the equation. -34 + 6v + 35v = 7 + -35v + 35v Combine like terms: 6v + 35v = 41v -34 + 41v = 7 + -35v + 35v Combine like terms: -35v + 35v = 0 -34 + 41v = 7 + 0 -34 + 41v = 7 Add '34' to each side of the equation. -34 + 34 + 41v = 7 + 34 Combine like terms: -34 + 34 = 0 0 + 41v = 7 + 34 41v = 7 + 34 Combine like terms: 7 + 34 = 41 41v = 41 Divide each side by '41'. v = 1 Simplifying v = 1
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