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Simplifying 9(v + -6) = -2v + 23 Reorder the terms: 9(-6 + v) = -2v + 23 (-6 * 9 + v * 9) = -2v + 23 (-54 + 9v) = -2v + 23 Reorder the terms: -54 + 9v = 23 + -2v Solving -54 + 9v = 23 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -54 + 9v + 2v = 23 + -2v + 2v Combine like terms: 9v + 2v = 11v -54 + 11v = 23 + -2v + 2v Combine like terms: -2v + 2v = 0 -54 + 11v = 23 + 0 -54 + 11v = 23 Add '54' to each side of the equation. -54 + 54 + 11v = 23 + 54 Combine like terms: -54 + 54 = 0 0 + 11v = 23 + 54 11v = 23 + 54 Combine like terms: 23 + 54 = 77 11v = 77 Divide each side by '11'. v = 7 Simplifying v = 7
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