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Simplifying -6(7 + 4v) + 6v = -96 (7 * -6 + 4v * -6) + 6v = -96 (-42 + -24v) + 6v = -96 Combine like terms: -24v + 6v = -18v -42 + -18v = -96 Solving -42 + -18v = -96 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -18v = -96 + 42 Combine like terms: -42 + 42 = 0 0 + -18v = -96 + 42 -18v = -96 + 42 Combine like terms: -96 + 42 = -54 -18v = -54 Divide each side by '-18'. v = 3 Simplifying v = 3
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