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Simplifying 3v + -7(8v + -5) = 406 Reorder the terms: 3v + -7(-5 + 8v) = 406 3v + (-5 * -7 + 8v * -7) = 406 3v + (35 + -56v) = 406 Reorder the terms: 35 + 3v + -56v = 406 Combine like terms: 3v + -56v = -53v 35 + -53v = 406 Solving 35 + -53v = 406 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -53v = 406 + -35 Combine like terms: 35 + -35 = 0 0 + -53v = 406 + -35 -53v = 406 + -35 Combine like terms: 406 + -35 = 371 -53v = 371 Divide each side by '-53'. v = -7 Simplifying v = -7
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