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Simplifying -5(v + -9) = -7v + 43 Reorder the terms: -5(-9 + v) = -7v + 43 (-9 * -5 + v * -5) = -7v + 43 (45 + -5v) = -7v + 43 Reorder the terms: 45 + -5v = 43 + -7v Solving 45 + -5v = 43 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 45 + -5v + 7v = 43 + -7v + 7v Combine like terms: -5v + 7v = 2v 45 + 2v = 43 + -7v + 7v Combine like terms: -7v + 7v = 0 45 + 2v = 43 + 0 45 + 2v = 43 Add '-45' to each side of the equation. 45 + -45 + 2v = 43 + -45 Combine like terms: 45 + -45 = 0 0 + 2v = 43 + -45 2v = 43 + -45 Combine like terms: 43 + -45 = -2 2v = -2 Divide each side by '2'. v = -1 Simplifying v = -1
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