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Simplifying -2(v + 1) = -9v + 47 Reorder the terms: -2(1 + v) = -9v + 47 (1 * -2 + v * -2) = -9v + 47 (-2 + -2v) = -9v + 47 Reorder the terms: -2 + -2v = 47 + -9v Solving -2 + -2v = 47 + -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. -2 + -2v + 9v = 47 + -9v + 9v Combine like terms: -2v + 9v = 7v -2 + 7v = 47 + -9v + 9v Combine like terms: -9v + 9v = 0 -2 + 7v = 47 + 0 -2 + 7v = 47 Add '2' to each side of the equation. -2 + 2 + 7v = 47 + 2 Combine like terms: -2 + 2 = 0 0 + 7v = 47 + 2 7v = 47 + 2 Combine like terms: 47 + 2 = 49 7v = 49 Divide each side by '7'. v = 7 Simplifying v = 7
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