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Simplifying -270 = 7v + 8(3 + -7v) -270 = 7v + (3 * 8 + -7v * 8) -270 = 7v + (24 + -56v) Reorder the terms: -270 = 24 + 7v + -56v Combine like terms: 7v + -56v = -49v -270 = 24 + -49v Solving -270 = 24 + -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. -270 + 49v = 24 + -49v + 49v Combine like terms: -49v + 49v = 0 -270 + 49v = 24 + 0 -270 + 49v = 24 Add '270' to each side of the equation. -270 + 270 + 49v = 24 + 270 Combine like terms: -270 + 270 = 0 0 + 49v = 24 + 270 49v = 24 + 270 Combine like terms: 24 + 270 = 294 49v = 294 Divide each side by '49'. v = 6 Simplifying v = 6
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