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Simplifying -4(v + 6) = -9v + -19 Reorder the terms: -4(6 + v) = -9v + -19 (6 * -4 + v * -4) = -9v + -19 (-24 + -4v) = -9v + -19 Reorder the terms: -24 + -4v = -19 + -9v Solving -24 + -4v = -19 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -24 + -4v + 9v = -19 + -9v + 9v Combine like terms: -4v + 9v = 5v -24 + 5v = -19 + -9v + 9v Combine like terms: -9v + 9v = 0 -24 + 5v = -19 + 0 -24 + 5v = -19 Add '24' to each side of the equation. -24 + 24 + 5v = -19 + 24 Combine like terms: -24 + 24 = 0 0 + 5v = -19 + 24 5v = -19 + 24 Combine like terms: -19 + 24 = 5 5v = 5 Divide each side by '5'. v = 1 Simplifying v = 1
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