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Simplifying -6v + 30 = 8(v + 9) Reorder the terms: 30 + -6v = 8(v + 9) Reorder the terms: 30 + -6v = 8(9 + v) 30 + -6v = (9 * 8 + v * 8) 30 + -6v = (72 + 8v) Solving 30 + -6v = 72 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 30 + -6v + -8v = 72 + 8v + -8v Combine like terms: -6v + -8v = -14v 30 + -14v = 72 + 8v + -8v Combine like terms: 8v + -8v = 0 30 + -14v = 72 + 0 30 + -14v = 72 Add '-30' to each side of the equation. 30 + -30 + -14v = 72 + -30 Combine like terms: 30 + -30 = 0 0 + -14v = 72 + -30 -14v = 72 + -30 Combine like terms: 72 + -30 = 42 -14v = 42 Divide each side by '-14'. v = -3 Simplifying v = -3
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