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Simplifying 7v + 20 = 4(v + -1) Reorder the terms: 20 + 7v = 4(v + -1) Reorder the terms: 20 + 7v = 4(-1 + v) 20 + 7v = (-1 * 4 + v * 4) 20 + 7v = (-4 + 4v) Solving 20 + 7v = -4 + 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 + 7v + -4v = -4 + 4v + -4v Combine like terms: 7v + -4v = 3v 20 + 3v = -4 + 4v + -4v Combine like terms: 4v + -4v = 0 20 + 3v = -4 + 0 20 + 3v = -4 Add '-20' to each side of the equation. 20 + -20 + 3v = -4 + -20 Combine like terms: 20 + -20 = 0 0 + 3v = -4 + -20 3v = -4 + -20 Combine like terms: -4 + -20 = -24 3v = -24 Divide each side by '3'. v = -8 Simplifying v = -8
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