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Simplifying 6(v + -9) = -39 + v Reorder the terms: 6(-9 + v) = -39 + v (-9 * 6 + v * 6) = -39 + v (-54 + 6v) = -39 + v Solving -54 + 6v = -39 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -54 + 6v + -1v = -39 + v + -1v Combine like terms: 6v + -1v = 5v -54 + 5v = -39 + v + -1v Combine like terms: v + -1v = 0 -54 + 5v = -39 + 0 -54 + 5v = -39 Add '54' to each side of the equation. -54 + 54 + 5v = -39 + 54 Combine like terms: -54 + 54 = 0 0 + 5v = -39 + 54 5v = -39 + 54 Combine like terms: -39 + 54 = 15 5v = 15 Divide each side by '5'. v = 3 Simplifying v = 3
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