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Simplifying 5(-2v + 6) + -4v = -2(v + -3) Reorder the terms: 5(6 + -2v) + -4v = -2(v + -3) (6 * 5 + -2v * 5) + -4v = -2(v + -3) (30 + -10v) + -4v = -2(v + -3) Combine like terms: -10v + -4v = -14v 30 + -14v = -2(v + -3) Reorder the terms: 30 + -14v = -2(-3 + v) 30 + -14v = (-3 * -2 + v * -2) 30 + -14v = (6 + -2v) Solving 30 + -14v = 6 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 30 + -14v + 2v = 6 + -2v + 2v Combine like terms: -14v + 2v = -12v 30 + -12v = 6 + -2v + 2v Combine like terms: -2v + 2v = 0 30 + -12v = 6 + 0 30 + -12v = 6 Add '-30' to each side of the equation. 30 + -30 + -12v = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -12v = 6 + -30 -12v = 6 + -30 Combine like terms: 6 + -30 = -24 -12v = -24 Divide each side by '-12'. v = 2 Simplifying v = 2
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