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Simplifying -84 = 2v + 4(1 + -6v) -84 = 2v + (1 * 4 + -6v * 4) -84 = 2v + (4 + -24v) Reorder the terms: -84 = 4 + 2v + -24v Combine like terms: 2v + -24v = -22v -84 = 4 + -22v Solving -84 = 4 + -22v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '22v' to each side of the equation. -84 + 22v = 4 + -22v + 22v Combine like terms: -22v + 22v = 0 -84 + 22v = 4 + 0 -84 + 22v = 4 Add '84' to each side of the equation. -84 + 84 + 22v = 4 + 84 Combine like terms: -84 + 84 = 0 0 + 22v = 4 + 84 22v = 4 + 84 Combine like terms: 4 + 84 = 88 22v = 88 Divide each side by '22'. v = 4 Simplifying v = 4
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