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Simplifying -7(7v + 4) = 217 Reorder the terms: -7(4 + 7v) = 217 (4 * -7 + 7v * -7) = 217 (-28 + -49v) = 217 Solving -28 + -49v = 217 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -49v = 217 + 28 Combine like terms: -28 + 28 = 0 0 + -49v = 217 + 28 -49v = 217 + 28 Combine like terms: 217 + 28 = 245 -49v = 245 Divide each side by '-49'. v = -5 Simplifying v = -5
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