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Simplifying 6(3v + -4) = -31 + -9v Reorder the terms: 6(-4 + 3v) = -31 + -9v (-4 * 6 + 3v * 6) = -31 + -9v (-24 + 18v) = -31 + -9v Solving -24 + 18v = -31 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -24 + 18v + 9v = -31 + -9v + 9v Combine like terms: 18v + 9v = 27v -24 + 27v = -31 + -9v + 9v Combine like terms: -9v + 9v = 0 -24 + 27v = -31 + 0 -24 + 27v = -31 Add '24' to each side of the equation. -24 + 24 + 27v = -31 + 24 Combine like terms: -24 + 24 = 0 0 + 27v = -31 + 24 27v = -31 + 24 Combine like terms: -31 + 24 = -7 27v = -7 Divide each side by '27'. v = -0.2592592593 Simplifying v = -0.2592592593
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