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Simplifying 5(v + 6) = -4(4v + -6) + 5v Reorder the terms: 5(6 + v) = -4(4v + -6) + 5v (6 * 5 + v * 5) = -4(4v + -6) + 5v (30 + 5v) = -4(4v + -6) + 5v Reorder the terms: 30 + 5v = -4(-6 + 4v) + 5v 30 + 5v = (-6 * -4 + 4v * -4) + 5v 30 + 5v = (24 + -16v) + 5v Combine like terms: -16v + 5v = -11v 30 + 5v = 24 + -11v Solving 30 + 5v = 24 + -11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '11v' to each side of the equation. 30 + 5v + 11v = 24 + -11v + 11v Combine like terms: 5v + 11v = 16v 30 + 16v = 24 + -11v + 11v Combine like terms: -11v + 11v = 0 30 + 16v = 24 + 0 30 + 16v = 24 Add '-30' to each side of the equation. 30 + -30 + 16v = 24 + -30 Combine like terms: 30 + -30 = 0 0 + 16v = 24 + -30 16v = 24 + -30 Combine like terms: 24 + -30 = -6 16v = -6 Divide each side by '16'. v = -0.375 Simplifying v = -0.375
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