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Simplifying 4 + 8(1 + 2v) = -84 4 + (1 * 8 + 2v * 8) = -84 4 + (8 + 16v) = -84 Combine like terms: 4 + 8 = 12 12 + 16v = -84 Solving 12 + 16v = -84 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 16v = -84 + -12 Combine like terms: 12 + -12 = 0 0 + 16v = -84 + -12 16v = -84 + -12 Combine like terms: -84 + -12 = -96 16v = -96 Divide each side by '16'. v = -6 Simplifying v = -6
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