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Simplifying -2v + 43 = -9(v + 3) Reorder the terms: 43 + -2v = -9(v + 3) Reorder the terms: 43 + -2v = -9(3 + v) 43 + -2v = (3 * -9 + v * -9) 43 + -2v = (-27 + -9v) Solving 43 + -2v = -27 + -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. 43 + -2v + 9v = -27 + -9v + 9v Combine like terms: -2v + 9v = 7v 43 + 7v = -27 + -9v + 9v Combine like terms: -9v + 9v = 0 43 + 7v = -27 + 0 43 + 7v = -27 Add '-43' to each side of the equation. 43 + -43 + 7v = -27 + -43 Combine like terms: 43 + -43 = 0 0 + 7v = -27 + -43 7v = -27 + -43 Combine like terms: -27 + -43 = -70 7v = -70 Divide each side by '7'. v = -10 Simplifying v = -10
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