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Simplifying -7(4 + -5v) + 2 = -26 + 7v (4 * -7 + -5v * -7) + 2 = -26 + 7v (-28 + 35v) + 2 = -26 + 7v Reorder the terms: -28 + 2 + 35v = -26 + 7v Combine like terms: -28 + 2 = -26 -26 + 35v = -26 + 7v Add '26' to each side of the equation. -26 + 26 + 35v = -26 + 26 + 7v Combine like terms: -26 + 26 = 0 0 + 35v = -26 + 26 + 7v 35v = -26 + 26 + 7v Combine like terms: -26 + 26 = 0 35v = 0 + 7v 35v = 7v Solving 35v = 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 35v + -7v = 7v + -7v Combine like terms: 35v + -7v = 28v 28v = 7v + -7v Combine like terms: 7v + -7v = 0 28v = 0 Divide each side by '28'. v = 0 Simplifying v = 0
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