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Simplifying 7 + 4v = -7(-7v + -1) + -2v Reorder the terms: 7 + 4v = -7(-1 + -7v) + -2v 7 + 4v = (-1 * -7 + -7v * -7) + -2v 7 + 4v = (7 + 49v) + -2v Combine like terms: 49v + -2v = 47v 7 + 4v = 7 + 47v Add '-7' to each side of the equation. 7 + -7 + 4v = 7 + -7 + 47v Combine like terms: 7 + -7 = 0 0 + 4v = 7 + -7 + 47v 4v = 7 + -7 + 47v Combine like terms: 7 + -7 = 0 4v = 0 + 47v 4v = 47v Solving 4v = 47v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-47v' to each side of the equation. 4v + -47v = 47v + -47v Combine like terms: 4v + -47v = -43v -43v = 47v + -47v Combine like terms: 47v + -47v = 0 -43v = 0 Divide each side by '-43'. v = 0 Simplifying v = 0
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