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Simplifying 3 + -4v = -7(8v + 7) Reorder the terms: 3 + -4v = -7(7 + 8v) 3 + -4v = (7 * -7 + 8v * -7) 3 + -4v = (-49 + -56v) Solving 3 + -4v = -49 + -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. 3 + -4v + 56v = -49 + -56v + 56v Combine like terms: -4v + 56v = 52v 3 + 52v = -49 + -56v + 56v Combine like terms: -56v + 56v = 0 3 + 52v = -49 + 0 3 + 52v = -49 Add '-3' to each side of the equation. 3 + -3 + 52v = -49 + -3 Combine like terms: 3 + -3 = 0 0 + 52v = -49 + -3 52v = -49 + -3 Combine like terms: -49 + -3 = -52 52v = -52 Divide each side by '52'. v = -1 Simplifying v = -1
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