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