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Simplifying -2(6v + -3) + 6v = 2 + 5(2v + -2) Reorder the terms: -2(-3 + 6v) + 6v = 2 + 5(2v + -2) (-3 * -2 + 6v * -2) + 6v = 2 + 5(2v + -2) (6 + -12v) + 6v = 2 + 5(2v + -2) Combine like terms: -12v + 6v = -6v 6 + -6v = 2 + 5(2v + -2) Reorder the terms: 6 + -6v = 2 + 5(-2 + 2v) 6 + -6v = 2 + (-2 * 5 + 2v * 5) 6 + -6v = 2 + (-10 + 10v) Combine like terms: 2 + -10 = -8 6 + -6v = -8 + 10v Solving 6 + -6v = -8 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 6 + -6v + -10v = -8 + 10v + -10v Combine like terms: -6v + -10v = -16v 6 + -16v = -8 + 10v + -10v Combine like terms: 10v + -10v = 0 6 + -16v = -8 + 0 6 + -16v = -8 Add '-6' to each side of the equation. 6 + -6 + -16v = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -16v = -8 + -6 -16v = -8 + -6 Combine like terms: -8 + -6 = -14 -16v = -14 Divide each side by '-16'. v = 0.875 Simplifying v = 0.875
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