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Simplifying -20 = 6(v + -7) + 5v Reorder the terms: -20 = 6(-7 + v) + 5v -20 = (-7 * 6 + v * 6) + 5v -20 = (-42 + 6v) + 5v Combine like terms: 6v + 5v = 11v -20 = -42 + 11v Solving -20 = -42 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -20 + -11v = -42 + 11v + -11v Combine like terms: 11v + -11v = 0 -20 + -11v = -42 + 0 -20 + -11v = -42 Add '20' to each side of the equation. -20 + 20 + -11v = -42 + 20 Combine like terms: -20 + 20 = 0 0 + -11v = -42 + 20 -11v = -42 + 20 Combine like terms: -42 + 20 = -22 -11v = -22 Divide each side by '-11'. v = 2 Simplifying v = 2
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