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Simplifying -217 = -6(-6v + -6) + -1 Reorder the terms: -217 = -6(-6 + -6v) + -1 -217 = (-6 * -6 + -6v * -6) + -1 -217 = (36 + 36v) + -1 Reorder the terms: -217 = 36 + -1 + 36v Combine like terms: 36 + -1 = 35 -217 = 35 + 36v Solving -217 = 35 + 36v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-36v' to each side of the equation. -217 + -36v = 35 + 36v + -36v Combine like terms: 36v + -36v = 0 -217 + -36v = 35 + 0 -217 + -36v = 35 Add '217' to each side of the equation. -217 + 217 + -36v = 35 + 217 Combine like terms: -217 + 217 = 0 0 + -36v = 35 + 217 -36v = 35 + 217 Combine like terms: 35 + 217 = 252 -36v = 252 Divide each side by '-36'. v = -7 Simplifying v = -7
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