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Simplifying -7(7 + 6v) = -343 (7 * -7 + 6v * -7) = -343 (-49 + -42v) = -343 Solving -49 + -42v = -343 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -42v = -343 + 49 Combine like terms: -49 + 49 = 0 0 + -42v = -343 + 49 -42v = -343 + 49 Combine like terms: -343 + 49 = -294 -42v = -294 Divide each side by '-42'. v = 7 Simplifying v = 7
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