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Simplifying -9(v + -4) = -4v + -14 Reorder the terms: -9(-4 + v) = -4v + -14 (-4 * -9 + v * -9) = -4v + -14 (36 + -9v) = -4v + -14 Reorder the terms: 36 + -9v = -14 + -4v Solving 36 + -9v = -14 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 36 + -9v + 4v = -14 + -4v + 4v Combine like terms: -9v + 4v = -5v 36 + -5v = -14 + -4v + 4v Combine like terms: -4v + 4v = 0 36 + -5v = -14 + 0 36 + -5v = -14 Add '-36' to each side of the equation. 36 + -36 + -5v = -14 + -36 Combine like terms: 36 + -36 = 0 0 + -5v = -14 + -36 -5v = -14 + -36 Combine like terms: -14 + -36 = -50 -5v = -50 Divide each side by '-5'. v = 10 Simplifying v = 10
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