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Simplifying 5(2 + -7v) + -6 = 4 + -4v (2 * 5 + -7v * 5) + -6 = 4 + -4v (10 + -35v) + -6 = 4 + -4v Reorder the terms: 10 + -6 + -35v = 4 + -4v Combine like terms: 10 + -6 = 4 4 + -35v = 4 + -4v Add '-4' to each side of the equation. 4 + -4 + -35v = 4 + -4 + -4v Combine like terms: 4 + -4 = 0 0 + -35v = 4 + -4 + -4v -35v = 4 + -4 + -4v Combine like terms: 4 + -4 = 0 -35v = 0 + -4v -35v = -4v Solving -35v = -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -35v + 4v = -4v + 4v Combine like terms: -35v + 4v = -31v -31v = -4v + 4v Combine like terms: -4v + 4v = 0 -31v = 0 Divide each side by '-31'. v = 0 Simplifying v = 0
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