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Simplifying 3(6 + 8v) = -12 + -6v (6 * 3 + 8v * 3) = -12 + -6v (18 + 24v) = -12 + -6v Solving 18 + 24v = -12 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 18 + 24v + 6v = -12 + -6v + 6v Combine like terms: 24v + 6v = 30v 18 + 30v = -12 + -6v + 6v Combine like terms: -6v + 6v = 0 18 + 30v = -12 + 0 18 + 30v = -12 Add '-18' to each side of the equation. 18 + -18 + 30v = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 30v = -12 + -18 30v = -12 + -18 Combine like terms: -12 + -18 = -30 30v = -30 Divide each side by '30'. v = -1 Simplifying v = -1
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