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Simplifying -343 = -7(1 + 6v) -343 = (1 * -7 + 6v * -7) -343 = (-7 + -42v) Solving -343 = -7 + -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. -343 + 42v = -7 + -42v + 42v Combine like terms: -42v + 42v = 0 -343 + 42v = -7 + 0 -343 + 42v = -7 Add '343' to each side of the equation. -343 + 343 + 42v = -7 + 343 Combine like terms: -343 + 343 = 0 0 + 42v = -7 + 343 42v = -7 + 343 Combine like terms: -7 + 343 = 336 42v = 336 Divide each side by '42'. v = 8 Simplifying v = 8
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