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Simplifying -3(2v + -4) + 2v = 6(v + 3) Reorder the terms: -3(-4 + 2v) + 2v = 6(v + 3) (-4 * -3 + 2v * -3) + 2v = 6(v + 3) (12 + -6v) + 2v = 6(v + 3) Combine like terms: -6v + 2v = -4v 12 + -4v = 6(v + 3) Reorder the terms: 12 + -4v = 6(3 + v) 12 + -4v = (3 * 6 + v * 6) 12 + -4v = (18 + 6v) Solving 12 + -4v = 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. 12 + -4v + -6v = 18 + 6v + -6v Combine like terms: -4v + -6v = -10v 12 + -10v = 18 + 6v + -6v Combine like terms: 6v + -6v = 0 12 + -10v = 18 + 0 12 + -10v = 18 Add '-12' to each side of the equation. 12 + -12 + -10v = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -10v = 18 + -12 -10v = 18 + -12 Combine like terms: 18 + -12 = 6 -10v = 6 Divide each side by '-10'. v = -0.6 Simplifying v = -0.6
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