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Simplifying 35 + 6v = -7(8v + -5) Reorder the terms: 35 + 6v = -7(-5 + 8v) 35 + 6v = (-5 * -7 + 8v * -7) 35 + 6v = (35 + -56v) Add '-35' to each side of the equation. 35 + -35 + 6v = 35 + -35 + -56v Combine like terms: 35 + -35 = 0 0 + 6v = 35 + -35 + -56v 6v = 35 + -35 + -56v Combine like terms: 35 + -35 = 0 6v = 0 + -56v 6v = -56v Solving 6v = -56v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '56v' to each side of the equation. 6v + 56v = -56v + 56v Combine like terms: 6v + 56v = 62v 62v = -56v + 56v Combine like terms: -56v + 56v = 0 62v = 0 Divide each side by '62'. v = 0 Simplifying v = 0
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