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Simplifying 4(v + -6) = 2v + -30 Reorder the terms: 4(-6 + v) = 2v + -30 (-6 * 4 + v * 4) = 2v + -30 (-24 + 4v) = 2v + -30 Reorder the terms: -24 + 4v = -30 + 2v Solving -24 + 4v = -30 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -24 + 4v + -2v = -30 + 2v + -2v Combine like terms: 4v + -2v = 2v -24 + 2v = -30 + 2v + -2v Combine like terms: 2v + -2v = 0 -24 + 2v = -30 + 0 -24 + 2v = -30 Add '24' to each side of the equation. -24 + 24 + 2v = -30 + 24 Combine like terms: -24 + 24 = 0 0 + 2v = -30 + 24 2v = -30 + 24 Combine like terms: -30 + 24 = -6 2v = -6 Divide each side by '2'. v = -3 Simplifying v = -3
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