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Simplifying 6(5 + -4v) = 2(4v + -17) (5 * 6 + -4v * 6) = 2(4v + -17) (30 + -24v) = 2(4v + -17) Reorder the terms: 30 + -24v = 2(-17 + 4v) 30 + -24v = (-17 * 2 + 4v * 2) 30 + -24v = (-34 + 8v) Solving 30 + -24v = -34 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 30 + -24v + -8v = -34 + 8v + -8v Combine like terms: -24v + -8v = -32v 30 + -32v = -34 + 8v + -8v Combine like terms: 8v + -8v = 0 30 + -32v = -34 + 0 30 + -32v = -34 Add '-30' to each side of the equation. 30 + -30 + -32v = -34 + -30 Combine like terms: 30 + -30 = 0 0 + -32v = -34 + -30 -32v = -34 + -30 Combine like terms: -34 + -30 = -64 -32v = -64 Divide each side by '-32'. v = 2 Simplifying v = 2
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