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Simplifying 4(v + -6) = -2v + 18 Reorder the terms: 4(-6 + v) = -2v + 18 (-6 * 4 + v * 4) = -2v + 18 (-24 + 4v) = -2v + 18 Reorder the terms: -24 + 4v = 18 + -2v Solving -24 + 4v = 18 + -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 = 18 + -2v + 2v Combine like terms: 4v + 2v = 6v -24 + 6v = 18 + -2v + 2v Combine like terms: -2v + 2v = 0 -24 + 6v = 18 + 0 -24 + 6v = 18 Add '24' to each side of the equation. -24 + 24 + 6v = 18 + 24 Combine like terms: -24 + 24 = 0 0 + 6v = 18 + 24 6v = 18 + 24 Combine like terms: 18 + 24 = 42 6v = 42 Divide each side by '6'. v = 7 Simplifying v = 7
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