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Simplifying -7v + 47 = -3(v + -5) Reorder the terms: 47 + -7v = -3(v + -5) Reorder the terms: 47 + -7v = -3(-5 + v) 47 + -7v = (-5 * -3 + v * -3) 47 + -7v = (15 + -3v) Solving 47 + -7v = 15 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 47 + -7v + 3v = 15 + -3v + 3v Combine like terms: -7v + 3v = -4v 47 + -4v = 15 + -3v + 3v Combine like terms: -3v + 3v = 0 47 + -4v = 15 + 0 47 + -4v = 15 Add '-47' to each side of the equation. 47 + -47 + -4v = 15 + -47 Combine like terms: 47 + -47 = 0 0 + -4v = 15 + -47 -4v = 15 + -47 Combine like terms: 15 + -47 = -32 -4v = -32 Divide each side by '-4'. v = 8 Simplifying v = 8
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