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Simplifying -2(-4 + 6v) = 8 + 6(-6 + -3v) (-4 * -2 + 6v * -2) = 8 + 6(-6 + -3v) (8 + -12v) = 8 + 6(-6 + -3v) 8 + -12v = 8 + (-6 * 6 + -3v * 6) 8 + -12v = 8 + (-36 + -18v) Combine like terms: 8 + -36 = -28 8 + -12v = -28 + -18v Solving 8 + -12v = -28 + -18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '18v' to each side of the equation. 8 + -12v + 18v = -28 + -18v + 18v Combine like terms: -12v + 18v = 6v 8 + 6v = -28 + -18v + 18v Combine like terms: -18v + 18v = 0 8 + 6v = -28 + 0 8 + 6v = -28 Add '-8' to each side of the equation. 8 + -8 + 6v = -28 + -8 Combine like terms: 8 + -8 = 0 0 + 6v = -28 + -8 6v = -28 + -8 Combine like terms: -28 + -8 = -36 6v = -36 Divide each side by '6'. v = -6 Simplifying v = -6
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