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Simplifying -31 = 5v + 6(v + 4) Reorder the terms: -31 = 5v + 6(4 + v) -31 = 5v + (4 * 6 + v * 6) -31 = 5v + (24 + 6v) Reorder the terms: -31 = 24 + 5v + 6v Combine like terms: 5v + 6v = 11v -31 = 24 + 11v Solving -31 = 24 + 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. -31 + -11v = 24 + 11v + -11v Combine like terms: 11v + -11v = 0 -31 + -11v = 24 + 0 -31 + -11v = 24 Add '31' to each side of the equation. -31 + 31 + -11v = 24 + 31 Combine like terms: -31 + 31 = 0 0 + -11v = 24 + 31 -11v = 24 + 31 Combine like terms: 24 + 31 = 55 -11v = 55 Divide each side by '-11'. v = -5 Simplifying v = -5
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