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Simplifying -9v + 14 = 8(v + 6) Reorder the terms: 14 + -9v = 8(v + 6) Reorder the terms: 14 + -9v = 8(6 + v) 14 + -9v = (6 * 8 + v * 8) 14 + -9v = (48 + 8v) Solving 14 + -9v = 48 + 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. 14 + -9v + -8v = 48 + 8v + -8v Combine like terms: -9v + -8v = -17v 14 + -17v = 48 + 8v + -8v Combine like terms: 8v + -8v = 0 14 + -17v = 48 + 0 14 + -17v = 48 Add '-14' to each side of the equation. 14 + -14 + -17v = 48 + -14 Combine like terms: 14 + -14 = 0 0 + -17v = 48 + -14 -17v = 48 + -14 Combine like terms: 48 + -14 = 34 -17v = 34 Divide each side by '-17'. v = -2 Simplifying v = -2
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