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Simplifying -9v + 43 = -7(v + -5) Reorder the terms: 43 + -9v = -7(v + -5) Reorder the terms: 43 + -9v = -7(-5 + v) 43 + -9v = (-5 * -7 + v * -7) 43 + -9v = (35 + -7v) Solving 43 + -9v = 35 + -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. 43 + -9v + 7v = 35 + -7v + 7v Combine like terms: -9v + 7v = -2v 43 + -2v = 35 + -7v + 7v Combine like terms: -7v + 7v = 0 43 + -2v = 35 + 0 43 + -2v = 35 Add '-43' to each side of the equation. 43 + -43 + -2v = 35 + -43 Combine like terms: 43 + -43 = 0 0 + -2v = 35 + -43 -2v = 35 + -43 Combine like terms: 35 + -43 = -8 -2v = -8 Divide each side by '-2'. v = 4 Simplifying v = 4
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