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Simplifying -217 = 7(1 + -8v) -217 = (1 * 7 + -8v * 7) -217 = (7 + -56v) Solving -217 = 7 + -56v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '56v' to each side of the equation. -217 + 56v = 7 + -56v + 56v Combine like terms: -56v + 56v = 0 -217 + 56v = 7 + 0 -217 + 56v = 7 Add '217' to each side of the equation. -217 + 217 + 56v = 7 + 217 Combine like terms: -217 + 217 = 0 0 + 56v = 7 + 217 56v = 7 + 217 Combine like terms: 7 + 217 = 224 56v = 224 Divide each side by '56'. v = 4 Simplifying v = 4
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