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Simplifying -6(v + -4) = 18 + -5v Reorder the terms: -6(-4 + v) = 18 + -5v (-4 * -6 + v * -6) = 18 + -5v (24 + -6v) = 18 + -5v Solving 24 + -6v = 18 + -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. 24 + -6v + 5v = 18 + -5v + 5v Combine like terms: -6v + 5v = -1v 24 + -1v = 18 + -5v + 5v Combine like terms: -5v + 5v = 0 24 + -1v = 18 + 0 24 + -1v = 18 Add '-24' to each side of the equation. 24 + -24 + -1v = 18 + -24 Combine like terms: 24 + -24 = 0 0 + -1v = 18 + -24 -1v = 18 + -24 Combine like terms: 18 + -24 = -6 -1v = -6 Divide each side by '-1'. v = 6 Simplifying v = 6
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