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Simplifying 4(v + -6) + -6x = -32 Reorder the terms: 4(-6 + v) + -6x = -32 (-6 * 4 + v * 4) + -6x = -32 (-24 + 4v) + -6x = -32 Solving -24 + 4v + -6x = -32 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 4v + 24 + -6x = -32 + 24 Reorder the terms: -24 + 24 + 4v + -6x = -32 + 24 Combine like terms: -24 + 24 = 0 0 + 4v + -6x = -32 + 24 4v + -6x = -32 + 24 Combine like terms: -32 + 24 = -8 4v + -6x = -8 Add '6x' to each side of the equation. 4v + -6x + 6x = -8 + 6x Combine like terms: -6x + 6x = 0 4v + 0 = -8 + 6x 4v = -8 + 6x Divide each side by '4'. v = -2 + 1.5x Simplifying v = -2 + 1.5x
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