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Simplifying -37 = 5(v + -5) + 7v Reorder the terms: -37 = 5(-5 + v) + 7v -37 = (-5 * 5 + v * 5) + 7v -37 = (-25 + 5v) + 7v Combine like terms: 5v + 7v = 12v -37 = -25 + 12v Solving -37 = -25 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -37 + -12v = -25 + 12v + -12v Combine like terms: 12v + -12v = 0 -37 + -12v = -25 + 0 -37 + -12v = -25 Add '37' to each side of the equation. -37 + 37 + -12v = -25 + 37 Combine like terms: -37 + 37 = 0 0 + -12v = -25 + 37 -12v = -25 + 37 Combine like terms: -25 + 37 = 12 -12v = 12 Divide each side by '-12'. v = -1 Simplifying v = -1
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