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Simplifying -5(3v + -1) + 4v = 3(v + 4) Reorder the terms: -5(-1 + 3v) + 4v = 3(v + 4) (-1 * -5 + 3v * -5) + 4v = 3(v + 4) (5 + -15v) + 4v = 3(v + 4) Combine like terms: -15v + 4v = -11v 5 + -11v = 3(v + 4) Reorder the terms: 5 + -11v = 3(4 + v) 5 + -11v = (4 * 3 + v * 3) 5 + -11v = (12 + 3v) Solving 5 + -11v = 12 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 5 + -11v + -3v = 12 + 3v + -3v Combine like terms: -11v + -3v = -14v 5 + -14v = 12 + 3v + -3v Combine like terms: 3v + -3v = 0 5 + -14v = 12 + 0 5 + -14v = 12 Add '-5' to each side of the equation. 5 + -5 + -14v = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -14v = 12 + -5 -14v = 12 + -5 Combine like terms: 12 + -5 = 7 -14v = 7 Divide each side by '-14'. v = -0.5 Simplifying v = -0.5
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