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Simplifying 4(v + 3) = -2(6v + -8) + 6v Reorder the terms: 4(3 + v) = -2(6v + -8) + 6v (3 * 4 + v * 4) = -2(6v + -8) + 6v (12 + 4v) = -2(6v + -8) + 6v Reorder the terms: 12 + 4v = -2(-8 + 6v) + 6v 12 + 4v = (-8 * -2 + 6v * -2) + 6v 12 + 4v = (16 + -12v) + 6v Combine like terms: -12v + 6v = -6v 12 + 4v = 16 + -6v Solving 12 + 4v = 16 + -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 = 16 + -6v + 6v Combine like terms: 4v + 6v = 10v 12 + 10v = 16 + -6v + 6v Combine like terms: -6v + 6v = 0 12 + 10v = 16 + 0 12 + 10v = 16 Add '-12' to each side of the equation. 12 + -12 + 10v = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 10v = 16 + -12 10v = 16 + -12 Combine like terms: 16 + -12 = 4 10v = 4 Divide each side by '10'. v = 0.4 Simplifying v = 0.4
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