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Simplifying -7v + -47 = -9(v + 3) Reorder the terms: -47 + -7v = -9(v + 3) Reorder the terms: -47 + -7v = -9(3 + v) -47 + -7v = (3 * -9 + v * -9) -47 + -7v = (-27 + -9v) Solving -47 + -7v = -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. -47 + -7v + 9v = -27 + -9v + 9v Combine like terms: -7v + 9v = 2v -47 + 2v = -27 + -9v + 9v Combine like terms: -9v + 9v = 0 -47 + 2v = -27 + 0 -47 + 2v = -27 Add '47' to each side of the equation. -47 + 47 + 2v = -27 + 47 Combine like terms: -47 + 47 = 0 0 + 2v = -27 + 47 2v = -27 + 47 Combine like terms: -27 + 47 = 20 2v = 20 Divide each side by '2'. v = 10 Simplifying v = 10
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