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Simplifying -20 = 4(v + -8) + -7v Reorder the terms: -20 = 4(-8 + v) + -7v -20 = (-8 * 4 + v * 4) + -7v -20 = (-32 + 4v) + -7v Combine like terms: 4v + -7v = -3v -20 = -32 + -3v Solving -20 = -32 + -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. -20 + 3v = -32 + -3v + 3v Combine like terms: -3v + 3v = 0 -20 + 3v = -32 + 0 -20 + 3v = -32 Add '20' to each side of the equation. -20 + 20 + 3v = -32 + 20 Combine like terms: -20 + 20 = 0 0 + 3v = -32 + 20 3v = -32 + 20 Combine like terms: -32 + 20 = -12 3v = -12 Divide each side by '3'. v = -4 Simplifying v = -4
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