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Simplifying -14(v + -2) = -4(v + -8) + -8v Reorder the terms: -14(-2 + v) = -4(v + -8) + -8v (-2 * -14 + v * -14) = -4(v + -8) + -8v (28 + -14v) = -4(v + -8) + -8v Reorder the terms: 28 + -14v = -4(-8 + v) + -8v 28 + -14v = (-8 * -4 + v * -4) + -8v 28 + -14v = (32 + -4v) + -8v Combine like terms: -4v + -8v = -12v 28 + -14v = 32 + -12v Solving 28 + -14v = 32 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 28 + -14v + 12v = 32 + -12v + 12v Combine like terms: -14v + 12v = -2v 28 + -2v = 32 + -12v + 12v Combine like terms: -12v + 12v = 0 28 + -2v = 32 + 0 28 + -2v = 32 Add '-28' to each side of the equation. 28 + -28 + -2v = 32 + -28 Combine like terms: 28 + -28 = 0 0 + -2v = 32 + -28 -2v = 32 + -28 Combine like terms: 32 + -28 = 4 -2v = 4 Divide each side by '-2'. v = -2 Simplifying v = -2
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