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Simplifying -5v + -47 = 2(v + 8) Reorder the terms: -47 + -5v = 2(v + 8) Reorder the terms: -47 + -5v = 2(8 + v) -47 + -5v = (8 * 2 + v * 2) -47 + -5v = (16 + 2v) Solving -47 + -5v = 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 + -5v + -2v = 16 + 2v + -2v Combine like terms: -5v + -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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