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Simplifying -5(2v + -2) + 4v = 6(v + 3) Reorder the terms: -5(-2 + 2v) + 4v = 6(v + 3) (-2 * -5 + 2v * -5) + 4v = 6(v + 3) (10 + -10v) + 4v = 6(v + 3) Combine like terms: -10v + 4v = -6v 10 + -6v = 6(v + 3) Reorder the terms: 10 + -6v = 6(3 + v) 10 + -6v = (3 * 6 + v * 6) 10 + -6v = (18 + 6v) Solving 10 + -6v = 18 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 10 + -6v + -6v = 18 + 6v + -6v Combine like terms: -6v + -6v = -12v 10 + -12v = 18 + 6v + -6v Combine like terms: 6v + -6v = 0 10 + -12v = 18 + 0 10 + -12v = 18 Add '-10' to each side of the equation. 10 + -10 + -12v = 18 + -10 Combine like terms: 10 + -10 = 0 0 + -12v = 18 + -10 -12v = 18 + -10 Combine like terms: 18 + -10 = 8 -12v = 8 Divide each side by '-12'. v = -0.6666666667 Simplifying v = -0.6666666667
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