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Simplifying -210 = -6(7v + 7) Reorder the terms: -210 = -6(7 + 7v) -210 = (7 * -6 + 7v * -6) -210 = (-42 + -42v) Solving -210 = -42 + -42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '42v' to each side of the equation. -210 + 42v = -42 + -42v + 42v Combine like terms: -42v + 42v = 0 -210 + 42v = -42 + 0 -210 + 42v = -42 Add '210' to each side of the equation. -210 + 210 + 42v = -42 + 210 Combine like terms: -210 + 210 = 0 0 + 42v = -42 + 210 42v = -42 + 210 Combine like terms: -42 + 210 = 168 42v = 168 Divide each side by '42'. v = 4 Simplifying v = 4
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