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Simplifying 5v + -31 = 6(-1v + 4) Reorder the terms: -31 + 5v = 6(-1v + 4) Reorder the terms: -31 + 5v = 6(4 + -1v) -31 + 5v = (4 * 6 + -1v * 6) -31 + 5v = (24 + -6v) Solving -31 + 5v = 24 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -31 + 5v + 6v = 24 + -6v + 6v Combine like terms: 5v + 6v = 11v -31 + 11v = 24 + -6v + 6v Combine like terms: -6v + 6v = 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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