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