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Simplifying -3(2v + -4) + 4v = 4 + 2(4v + -4) Reorder the terms: -3(-4 + 2v) + 4v = 4 + 2(4v + -4) (-4 * -3 + 2v * -3) + 4v = 4 + 2(4v + -4) (12 + -6v) + 4v = 4 + 2(4v + -4) Combine like terms: -6v + 4v = -2v 12 + -2v = 4 + 2(4v + -4) Reorder the terms: 12 + -2v = 4 + 2(-4 + 4v) 12 + -2v = 4 + (-4 * 2 + 4v * 2) 12 + -2v = 4 + (-8 + 8v) Combine like terms: 4 + -8 = -4 12 + -2v = -4 + 8v Solving 12 + -2v = -4 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 12 + -2v + -8v = -4 + 8v + -8v Combine like terms: -2v + -8v = -10v 12 + -10v = -4 + 8v + -8v Combine like terms: 8v + -8v = 0 12 + -10v = -4 + 0 12 + -10v = -4 Add '-12' to each side of the equation. 12 + -12 + -10v = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -10v = -4 + -12 -10v = -4 + -12 Combine like terms: -4 + -12 = -16 -10v = -16 Divide each side by '-10'. v = 1.6 Simplifying v = 1.6
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