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Simplifying 3(8v + 8) = -12(6 + -10v) Reorder the terms: 3(8 + 8v) = -12(6 + -10v) (8 * 3 + 8v * 3) = -12(6 + -10v) (24 + 24v) = -12(6 + -10v) 24 + 24v = (6 * -12 + -10v * -12) 24 + 24v = (-72 + 120v) Solving 24 + 24v = -72 + 120v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-120v' to each side of the equation. 24 + 24v + -120v = -72 + 120v + -120v Combine like terms: 24v + -120v = -96v 24 + -96v = -72 + 120v + -120v Combine like terms: 120v + -120v = 0 24 + -96v = -72 + 0 24 + -96v = -72 Add '-24' to each side of the equation. 24 + -24 + -96v = -72 + -24 Combine like terms: 24 + -24 = 0 0 + -96v = -72 + -24 -96v = -72 + -24 Combine like terms: -72 + -24 = -96 -96v = -96 Divide each side by '-96'. v = 1 Simplifying v = 1
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