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Simplifying -6(1 + -5v) = 5v (1 * -6 + -5v * -6) = 5v (-6 + 30v) = 5v Solving -6 + 30v = 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -6 + 30v + -5v = 5v + -5v Combine like terms: 30v + -5v = 25v -6 + 25v = 5v + -5v Combine like terms: 5v + -5v = 0 -6 + 25v = 0 Add '6' to each side of the equation. -6 + 6 + 25v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 25v = 0 + 6 25v = 0 + 6 Combine like terms: 0 + 6 = 6 25v = 6 Divide each side by '25'. v = 0.24 Simplifying v = 0.24
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