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Simplifying -3(5v + -2) + 4v = 5(v + 4) Reorder the terms: -3(-2 + 5v) + 4v = 5(v + 4) (-2 * -3 + 5v * -3) + 4v = 5(v + 4) (6 + -15v) + 4v = 5(v + 4) Combine like terms: -15v + 4v = -11v 6 + -11v = 5(v + 4) Reorder the terms: 6 + -11v = 5(4 + v) 6 + -11v = (4 * 5 + v * 5) 6 + -11v = (20 + 5v) Solving 6 + -11v = 20 + 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 + -11v + -5v = 20 + 5v + -5v Combine like terms: -11v + -5v = -16v 6 + -16v = 20 + 5v + -5v Combine like terms: 5v + -5v = 0 6 + -16v = 20 + 0 6 + -16v = 20 Add '-6' to each side of the equation. 6 + -6 + -16v = 20 + -6 Combine like terms: 6 + -6 = 0 0 + -16v = 20 + -6 -16v = 20 + -6 Combine like terms: 20 + -6 = 14 -16v = 14 Divide each side by '-16'. v = -0.875 Simplifying v = -0.875
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