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Simplifying -6(5 + -3v) = 40 + 4v (5 * -6 + -3v * -6) = 40 + 4v (-30 + 18v) = 40 + 4v Solving -30 + 18v = 40 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -30 + 18v + -4v = 40 + 4v + -4v Combine like terms: 18v + -4v = 14v -30 + 14v = 40 + 4v + -4v Combine like terms: 4v + -4v = 0 -30 + 14v = 40 + 0 -30 + 14v = 40 Add '30' to each side of the equation. -30 + 30 + 14v = 40 + 30 Combine like terms: -30 + 30 = 0 0 + 14v = 40 + 30 14v = 40 + 30 Combine like terms: 40 + 30 = 70 14v = 70 Divide each side by '14'. v = 5 Simplifying v = 5
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