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Simplifying -280 = -7(5 + 7v) -280 = (5 * -7 + 7v * -7) -280 = (-35 + -49v) Solving -280 = -35 + -49v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '49v' to each side of the equation. -280 + 49v = -35 + -49v + 49v Combine like terms: -49v + 49v = 0 -280 + 49v = -35 + 0 -280 + 49v = -35 Add '280' to each side of the equation. -280 + 280 + 49v = -35 + 280 Combine like terms: -280 + 280 = 0 0 + 49v = -35 + 280 49v = -35 + 280 Combine like terms: -35 + 280 = 245 49v = 245 Divide each side by '49'. v = 5 Simplifying v = 5
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