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Simplifying -36 = 6(v + 8) + 8v Reorder the terms: -36 = 6(8 + v) + 8v -36 = (8 * 6 + v * 6) + 8v -36 = (48 + 6v) + 8v Combine like terms: 6v + 8v = 14v -36 = 48 + 14v Solving -36 = 48 + 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. -36 + -14v = 48 + 14v + -14v Combine like terms: 14v + -14v = 0 -36 + -14v = 48 + 0 -36 + -14v = 48 Add '36' to each side of the equation. -36 + 36 + -14v = 48 + 36 Combine like terms: -36 + 36 = 0 0 + -14v = 48 + 36 -14v = 48 + 36 Combine like terms: 48 + 36 = 84 -14v = 84 Divide each side by '-14'. v = -6 Simplifying v = -6
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