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Simplifying -8v + -7 = -7(1 + 6v) Reorder the terms: -7 + -8v = -7(1 + 6v) -7 + -8v = (1 * -7 + 6v * -7) -7 + -8v = (-7 + -42v) Add '7' to each side of the equation. -7 + 7 + -8v = -7 + 7 + -42v Combine like terms: -7 + 7 = 0 0 + -8v = -7 + 7 + -42v -8v = -7 + 7 + -42v Combine like terms: -7 + 7 = 0 -8v = 0 + -42v -8v = -42v Solving -8v = -42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '42v' to each side of the equation. -8v + 42v = -42v + 42v Combine like terms: -8v + 42v = 34v 34v = -42v + 42v Combine like terms: -42v + 42v = 0 34v = 0 Divide each side by '34'. v = 0 Simplifying v = 0
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