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Simplifying -23 + 6v = 5(-3v + 8) Reorder the terms: -23 + 6v = 5(8 + -3v) -23 + 6v = (8 * 5 + -3v * 5) -23 + 6v = (40 + -15v) Solving -23 + 6v = 40 + -15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15v' to each side of the equation. -23 + 6v + 15v = 40 + -15v + 15v Combine like terms: 6v + 15v = 21v -23 + 21v = 40 + -15v + 15v Combine like terms: -15v + 15v = 0 -23 + 21v = 40 + 0 -23 + 21v = 40 Add '23' to each side of the equation. -23 + 23 + 21v = 40 + 23 Combine like terms: -23 + 23 = 0 0 + 21v = 40 + 23 21v = 40 + 23 Combine like terms: 40 + 23 = 63 21v = 63 Divide each side by '21'. v = 3 Simplifying v = 3
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