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Simplifying -8v + 12 = 6(v + -5) Reorder the terms: 12 + -8v = 6(v + -5) Reorder the terms: 12 + -8v = 6(-5 + v) 12 + -8v = (-5 * 6 + v * 6) 12 + -8v = (-30 + 6v) Solving 12 + -8v = -30 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 12 + -8v + -6v = -30 + 6v + -6v Combine like terms: -8v + -6v = -14v 12 + -14v = -30 + 6v + -6v Combine like terms: 6v + -6v = 0 12 + -14v = -30 + 0 12 + -14v = -30 Add '-12' to each side of the equation. 12 + -12 + -14v = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -14v = -30 + -12 -14v = -30 + -12 Combine like terms: -30 + -12 = -42 -14v = -42 Divide each side by '-14'. v = 3 Simplifying v = 3
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