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Simplifying -7(7v + -3) = 413 Reorder the terms: -7(-3 + 7v) = 413 (-3 * -7 + 7v * -7) = 413 (21 + -49v) = 413 Solving 21 + -49v = 413 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -49v = 413 + -21 Combine like terms: 21 + -21 = 0 0 + -49v = 413 + -21 -49v = 413 + -21 Combine like terms: 413 + -21 = 392 -49v = 392 Divide each side by '-49'. v = -8 Simplifying v = -8
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