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Simplifying -2(7v + -2) + 4v = 2(v + 3) Reorder the terms: -2(-2 + 7v) + 4v = 2(v + 3) (-2 * -2 + 7v * -2) + 4v = 2(v + 3) (4 + -14v) + 4v = 2(v + 3) Combine like terms: -14v + 4v = -10v 4 + -10v = 2(v + 3) Reorder the terms: 4 + -10v = 2(3 + v) 4 + -10v = (3 * 2 + v * 2) 4 + -10v = (6 + 2v) Solving 4 + -10v = 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. 4 + -10v + -2v = 6 + 2v + -2v Combine like terms: -10v + -2v = -12v 4 + -12v = 6 + 2v + -2v Combine like terms: 2v + -2v = 0 4 + -12v = 6 + 0 4 + -12v = 6 Add '-4' to each side of the equation. 4 + -4 + -12v = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -12v = 6 + -4 -12v = 6 + -4 Combine like terms: 6 + -4 = 2 -12v = 2 Divide each side by '-12'. v = -0.1666666667 Simplifying v = -0.1666666667
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