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Simplifying 6(5 + -2v) = 4(3v + 1) (5 * 6 + -2v * 6) = 4(3v + 1) (30 + -12v) = 4(3v + 1) Reorder the terms: 30 + -12v = 4(1 + 3v) 30 + -12v = (1 * 4 + 3v * 4) 30 + -12v = (4 + 12v) Solving 30 + -12v = 4 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 30 + -12v + -12v = 4 + 12v + -12v Combine like terms: -12v + -12v = -24v 30 + -24v = 4 + 12v + -12v Combine like terms: 12v + -12v = 0 30 + -24v = 4 + 0 30 + -24v = 4 Add '-30' to each side of the equation. 30 + -30 + -24v = 4 + -30 Combine like terms: 30 + -30 = 0 0 + -24v = 4 + -30 -24v = 4 + -30 Combine like terms: 4 + -30 = -26 -24v = -26 Divide each side by '-24'. v = 1.083333333 Simplifying v = 1.083333333
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