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Simplifying 11 + -8v = 4 + 7(1 + 6v) 11 + -8v = 4 + (1 * 7 + 6v * 7) 11 + -8v = 4 + (7 + 42v) Combine like terms: 4 + 7 = 11 11 + -8v = 11 + 42v Add '-11' to each side of the equation. 11 + -11 + -8v = 11 + -11 + 42v Combine like terms: 11 + -11 = 0 0 + -8v = 11 + -11 + 42v -8v = 11 + -11 + 42v Combine like terms: 11 + -11 = 0 -8v = 0 + 42v -8v = 42v Solving -8v = 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. -8v + -42v = 42v + -42v Combine like terms: -8v + -42v = -50v -50v = 42v + -42v Combine like terms: 42v + -42v = 0 -50v = 0 Divide each side by '-50'. v = 0.0 Simplifying v = 0.0
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