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Simplifying -4(v + -8) = -7v + 20 Reorder the terms: -4(-8 + v) = -7v + 20 (-8 * -4 + v * -4) = -7v + 20 (32 + -4v) = -7v + 20 Reorder the terms: 32 + -4v = 20 + -7v Solving 32 + -4v = 20 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 32 + -4v + 7v = 20 + -7v + 7v Combine like terms: -4v + 7v = 3v 32 + 3v = 20 + -7v + 7v Combine like terms: -7v + 7v = 0 32 + 3v = 20 + 0 32 + 3v = 20 Add '-32' to each side of the equation. 32 + -32 + 3v = 20 + -32 Combine like terms: 32 + -32 = 0 0 + 3v = 20 + -32 3v = 20 + -32 Combine like terms: 20 + -32 = -12 3v = -12 Divide each side by '3'. v = -4 Simplifying v = -4
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