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Simplifying -6(2v + -4) + 3v = 6(v + 2) Reorder the terms: -6(-4 + 2v) + 3v = 6(v + 2) (-4 * -6 + 2v * -6) + 3v = 6(v + 2) (24 + -12v) + 3v = 6(v + 2) Combine like terms: -12v + 3v = -9v 24 + -9v = 6(v + 2) Reorder the terms: 24 + -9v = 6(2 + v) 24 + -9v = (2 * 6 + v * 6) 24 + -9v = (12 + 6v) Solving 24 + -9v = 12 + 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. 24 + -9v + -6v = 12 + 6v + -6v Combine like terms: -9v + -6v = -15v 24 + -15v = 12 + 6v + -6v Combine like terms: 6v + -6v = 0 24 + -15v = 12 + 0 24 + -15v = 12 Add '-24' to each side of the equation. 24 + -24 + -15v = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -15v = 12 + -24 -15v = 12 + -24 Combine like terms: 12 + -24 = -12 -15v = -12 Divide each side by '-15'. v = 0.8 Simplifying v = 0.8
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