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Simplifying -6(2v + 5) = -21 + 4v Reorder the terms: -6(5 + 2v) = -21 + 4v (5 * -6 + 2v * -6) = -21 + 4v (-30 + -12v) = -21 + 4v Solving -30 + -12v = -21 + 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 + -12v + -4v = -21 + 4v + -4v Combine like terms: -12v + -4v = -16v -30 + -16v = -21 + 4v + -4v Combine like terms: 4v + -4v = 0 -30 + -16v = -21 + 0 -30 + -16v = -21 Add '30' to each side of the equation. -30 + 30 + -16v = -21 + 30 Combine like terms: -30 + 30 = 0 0 + -16v = -21 + 30 -16v = -21 + 30 Combine like terms: -21 + 30 = 9 -16v = 9 Divide each side by '-16'. v = -0.5625 Simplifying v = -0.5625
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