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Simplifying 5v + -47 = -2(v + -1) Reorder the terms: -47 + 5v = -2(v + -1) Reorder the terms: -47 + 5v = -2(-1 + v) -47 + 5v = (-1 * -2 + v * -2) -47 + 5v = (2 + -2v) Solving -47 + 5v = 2 + -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 + 5v + 2v = 2 + -2v + 2v Combine like terms: 5v + 2v = 7v -47 + 7v = 2 + -2v + 2v Combine like terms: -2v + 2v = 0 -47 + 7v = 2 + 0 -47 + 7v = 2 Add '47' to each side of the equation. -47 + 47 + 7v = 2 + 47 Combine like terms: -47 + 47 = 0 0 + 7v = 2 + 47 7v = 2 + 47 Combine like terms: 2 + 47 = 49 7v = 49 Divide each side by '7'. v = 7 Simplifying v = 7
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