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Simplifying -2(3v + -4) + 4v = 6 + 2(5v + -6) Reorder the terms: -2(-4 + 3v) + 4v = 6 + 2(5v + -6) (-4 * -2 + 3v * -2) + 4v = 6 + 2(5v + -6) (8 + -6v) + 4v = 6 + 2(5v + -6) Combine like terms: -6v + 4v = -2v 8 + -2v = 6 + 2(5v + -6) Reorder the terms: 8 + -2v = 6 + 2(-6 + 5v) 8 + -2v = 6 + (-6 * 2 + 5v * 2) 8 + -2v = 6 + (-12 + 10v) Combine like terms: 6 + -12 = -6 8 + -2v = -6 + 10v Solving 8 + -2v = -6 + 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. 8 + -2v + -10v = -6 + 10v + -10v Combine like terms: -2v + -10v = -12v 8 + -12v = -6 + 10v + -10v Combine like terms: 10v + -10v = 0 8 + -12v = -6 + 0 8 + -12v = -6 Add '-8' to each side of the equation. 8 + -8 + -12v = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -12v = -6 + -8 -12v = -6 + -8 Combine like terms: -6 + -8 = -14 -12v = -14 Divide each side by '-12'. v = 1.166666667 Simplifying v = 1.166666667
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