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Simplifying 6(v + -2) + -2 = -2(-8v + 5) + -2v Reorder the terms: 6(-2 + v) + -2 = -2(-8v + 5) + -2v (-2 * 6 + v * 6) + -2 = -2(-8v + 5) + -2v (-12 + 6v) + -2 = -2(-8v + 5) + -2v Reorder the terms: -12 + -2 + 6v = -2(-8v + 5) + -2v Combine like terms: -12 + -2 = -14 -14 + 6v = -2(-8v + 5) + -2v Reorder the terms: -14 + 6v = -2(5 + -8v) + -2v -14 + 6v = (5 * -2 + -8v * -2) + -2v -14 + 6v = (-10 + 16v) + -2v Combine like terms: 16v + -2v = 14v -14 + 6v = -10 + 14v Solving -14 + 6v = -10 + 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. -14 + 6v + -14v = -10 + 14v + -14v Combine like terms: 6v + -14v = -8v -14 + -8v = -10 + 14v + -14v Combine like terms: 14v + -14v = 0 -14 + -8v = -10 + 0 -14 + -8v = -10 Add '14' to each side of the equation. -14 + 14 + -8v = -10 + 14 Combine like terms: -14 + 14 = 0 0 + -8v = -10 + 14 -8v = -10 + 14 Combine like terms: -10 + 14 = 4 -8v = 4 Divide each side by '-8'. v = -0.5 Simplifying v = -0.5
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