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Simplifying 118 = -6(v + -1) + -8v Reorder the terms: 118 = -6(-1 + v) + -8v 118 = (-1 * -6 + v * -6) + -8v 118 = (6 + -6v) + -8v Combine like terms: -6v + -8v = -14v 118 = 6 + -14v Solving 118 = 6 + -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. 118 + 14v = 6 + -14v + 14v Combine like terms: -14v + 14v = 0 118 + 14v = 6 + 0 118 + 14v = 6 Add '-118' to each side of the equation. 118 + -118 + 14v = 6 + -118 Combine like terms: 118 + -118 = 0 0 + 14v = 6 + -118 14v = 6 + -118 Combine like terms: 6 + -118 = -112 14v = -112 Divide each side by '14'. v = -8 Simplifying v = -8
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