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Simplifying -9v + -47 = 2(v + 4) Reorder the terms: -47 + -9v = 2(v + 4) Reorder the terms: -47 + -9v = 2(4 + v) -47 + -9v = (4 * 2 + v * 2) -47 + -9v = (8 + 2v) Solving -47 + -9v = 8 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -47 + -9v + -2v = 8 + 2v + -2v Combine like terms: -9v + -2v = -11v -47 + -11v = 8 + 2v + -2v Combine like terms: 2v + -2v = 0 -47 + -11v = 8 + 0 -47 + -11v = 8 Add '47' to each side of the equation. -47 + 47 + -11v = 8 + 47 Combine like terms: -47 + 47 = 0 0 + -11v = 8 + 47 -11v = 8 + 47 Combine like terms: 8 + 47 = 55 -11v = 55 Divide each side by '-11'. v = -5 Simplifying v = -5
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