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Simplifying -32 + -8v = 4(v + -2) Reorder the terms: -32 + -8v = 4(-2 + v) -32 + -8v = (-2 * 4 + v * 4) -32 + -8v = (-8 + 4v) Solving -32 + -8v = -8 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -32 + -8v + -4v = -8 + 4v + -4v Combine like terms: -8v + -4v = -12v -32 + -12v = -8 + 4v + -4v Combine like terms: 4v + -4v = 0 -32 + -12v = -8 + 0 -32 + -12v = -8 Add '32' to each side of the equation. -32 + 32 + -12v = -8 + 32 Combine like terms: -32 + 32 = 0 0 + -12v = -8 + 32 -12v = -8 + 32 Combine like terms: -8 + 32 = 24 -12v = 24 Divide each side by '-12'. v = -2 Simplifying v = -2
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