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Simplifying 6v + 24 = 8(5v + 3) Reorder the terms: 24 + 6v = 8(5v + 3) Reorder the terms: 24 + 6v = 8(3 + 5v) 24 + 6v = (3 * 8 + 5v * 8) 24 + 6v = (24 + 40v) Add '-24' to each side of the equation. 24 + -24 + 6v = 24 + -24 + 40v Combine like terms: 24 + -24 = 0 0 + 6v = 24 + -24 + 40v 6v = 24 + -24 + 40v Combine like terms: 24 + -24 = 0 6v = 0 + 40v 6v = 40v Solving 6v = 40v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-40v' to each side of the equation. 6v + -40v = 40v + -40v Combine like terms: 6v + -40v = -34v -34v = 40v + -40v Combine like terms: 40v + -40v = 0 -34v = 0 Divide each side by '-34'. v = 0 Simplifying v = 0
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