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Simplifying -9v + -47 = -2(v + -8) Reorder the terms: -47 + -9v = -2(v + -8) Reorder the terms: -47 + -9v = -2(-8 + v) -47 + -9v = (-8 * -2 + v * -2) -47 + -9v = (16 + -2v) Solving -47 + -9v = 16 + -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 = 16 + -2v + 2v Combine like terms: -9v + 2v = -7v -47 + -7v = 16 + -2v + 2v Combine like terms: -2v + 2v = 0 -47 + -7v = 16 + 0 -47 + -7v = 16 Add '47' to each side of the equation. -47 + 47 + -7v = 16 + 47 Combine like terms: -47 + 47 = 0 0 + -7v = 16 + 47 -7v = 16 + 47 Combine like terms: 16 + 47 = 63 -7v = 63 Divide each side by '-7'. v = -9 Simplifying v = -9
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