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Simplifying -4(v + -9) = -9v + 6 Reorder the terms: -4(-9 + v) = -9v + 6 (-9 * -4 + v * -4) = -9v + 6 (36 + -4v) = -9v + 6 Reorder the terms: 36 + -4v = 6 + -9v Solving 36 + -4v = 6 + -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. 36 + -4v + 9v = 6 + -9v + 9v Combine like terms: -4v + 9v = 5v 36 + 5v = 6 + -9v + 9v Combine like terms: -9v + 9v = 0 36 + 5v = 6 + 0 36 + 5v = 6 Add '-36' to each side of the equation. 36 + -36 + 5v = 6 + -36 Combine like terms: 36 + -36 = 0 0 + 5v = 6 + -36 5v = 6 + -36 Combine like terms: 6 + -36 = -30 5v = -30 Divide each side by '5'. v = -6 Simplifying v = -6
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