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Simplifying 4(v + -4) + -6v = 32 Reorder the terms: 4(-4 + v) + -6v = 32 (-4 * 4 + v * 4) + -6v = 32 (-16 + 4v) + -6v = 32 Combine like terms: 4v + -6v = -2v -16 + -2v = 32 Solving -16 + -2v = 32 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -2v = 32 + 16 Combine like terms: -16 + 16 = 0 0 + -2v = 32 + 16 -2v = 32 + 16 Combine like terms: 32 + 16 = 48 -2v = 48 Divide each side by '-2'. v = -24 Simplifying v = -24
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