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Simplifying 2(v + -5) = 2v + 2 + -6(-2v + -1) Reorder the terms: 2(-5 + v) = 2v + 2 + -6(-2v + -1) (-5 * 2 + v * 2) = 2v + 2 + -6(-2v + -1) (-10 + 2v) = 2v + 2 + -6(-2v + -1) Reorder the terms: -10 + 2v = 2v + 2 + -6(-1 + -2v) -10 + 2v = 2v + 2 + (-1 * -6 + -2v * -6) -10 + 2v = 2v + 2 + (6 + 12v) Reorder the terms: -10 + 2v = 2 + 6 + 2v + 12v Combine like terms: 2 + 6 = 8 -10 + 2v = 8 + 2v + 12v Combine like terms: 2v + 12v = 14v -10 + 2v = 8 + 14v Solving -10 + 2v = 8 + 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. -10 + 2v + -14v = 8 + 14v + -14v Combine like terms: 2v + -14v = -12v -10 + -12v = 8 + 14v + -14v Combine like terms: 14v + -14v = 0 -10 + -12v = 8 + 0 -10 + -12v = 8 Add '10' to each side of the equation. -10 + 10 + -12v = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -12v = 8 + 10 -12v = 8 + 10 Combine like terms: 8 + 10 = 18 -12v = 18 Divide each side by '-12'. v = -1.5 Simplifying v = -1.5
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