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Simplifying 6(v + -1) + -6 = -2(-8v + 8) + -2v Reorder the terms: 6(-1 + v) + -6 = -2(-8v + 8) + -2v (-1 * 6 + v * 6) + -6 = -2(-8v + 8) + -2v (-6 + 6v) + -6 = -2(-8v + 8) + -2v Reorder the terms: -6 + -6 + 6v = -2(-8v + 8) + -2v Combine like terms: -6 + -6 = -12 -12 + 6v = -2(-8v + 8) + -2v Reorder the terms: -12 + 6v = -2(8 + -8v) + -2v -12 + 6v = (8 * -2 + -8v * -2) + -2v -12 + 6v = (-16 + 16v) + -2v Combine like terms: 16v + -2v = 14v -12 + 6v = -16 + 14v Solving -12 + 6v = -16 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. -12 + 6v + -14v = -16 + 14v + -14v Combine like terms: 6v + -14v = -8v -12 + -8v = -16 + 14v + -14v Combine like terms: 14v + -14v = 0 -12 + -8v = -16 + 0 -12 + -8v = -16 Add '12' to each side of the equation. -12 + 12 + -8v = -16 + 12 Combine like terms: -12 + 12 = 0 0 + -8v = -16 + 12 -8v = -16 + 12 Combine like terms: -16 + 12 = -4 -8v = -4 Divide each side by '-8'. v = 0.5 Simplifying v = 0.5
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