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Simplifying 217 = 7(1 + -5v) 217 = (1 * 7 + -5v * 7) 217 = (7 + -35v) Solving 217 = 7 + -35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '35v' to each side of the equation. 217 + 35v = 7 + -35v + 35v Combine like terms: -35v + 35v = 0 217 + 35v = 7 + 0 217 + 35v = 7 Add '-217' to each side of the equation. 217 + -217 + 35v = 7 + -217 Combine like terms: 217 + -217 = 0 0 + 35v = 7 + -217 35v = 7 + -217 Combine like terms: 7 + -217 = -210 35v = -210 Divide each side by '35'. v = -6 Simplifying v = -6
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