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Simplifying 4(v + -2) + -8v = 32 Reorder the terms: 4(-2 + v) + -8v = 32 (-2 * 4 + v * 4) + -8v = 32 (-8 + 4v) + -8v = 32 Combine like terms: 4v + -8v = -4v -8 + -4v = 32 Solving -8 + -4v = 32 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -4v = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -4v = 32 + 8 -4v = 32 + 8 Combine like terms: 32 + 8 = 40 -4v = 40 Divide each side by '-4'. v = -10 Simplifying v = -10
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