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Simplifying -20 = 7(v + -8) + -3v Reorder the terms: -20 = 7(-8 + v) + -3v -20 = (-8 * 7 + v * 7) + -3v -20 = (-56 + 7v) + -3v Combine like terms: 7v + -3v = 4v -20 = -56 + 4v Solving -20 = -56 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -20 + -4v = -56 + 4v + -4v Combine like terms: 4v + -4v = 0 -20 + -4v = -56 + 0 -20 + -4v = -56 Add '20' to each side of the equation. -20 + 20 + -4v = -56 + 20 Combine like terms: -20 + 20 = 0 0 + -4v = -56 + 20 -4v = -56 + 20 Combine like terms: -56 + 20 = -36 -4v = -36 Divide each side by '-4'. v = 9 Simplifying v = 9
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