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Simplifying 9(v + -2) = 4v + -43 Reorder the terms: 9(-2 + v) = 4v + -43 (-2 * 9 + v * 9) = 4v + -43 (-18 + 9v) = 4v + -43 Reorder the terms: -18 + 9v = -43 + 4v Solving -18 + 9v = -43 + 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. -18 + 9v + -4v = -43 + 4v + -4v Combine like terms: 9v + -4v = 5v -18 + 5v = -43 + 4v + -4v Combine like terms: 4v + -4v = 0 -18 + 5v = -43 + 0 -18 + 5v = -43 Add '18' to each side of the equation. -18 + 18 + 5v = -43 + 18 Combine like terms: -18 + 18 = 0 0 + 5v = -43 + 18 5v = -43 + 18 Combine like terms: -43 + 18 = -25 5v = -25 Divide each side by '5'. v = -5 Simplifying v = -5
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