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Simplifying 14v + -3[6 + -1v] = 8[v + -9] 14v + [6 * -3 + -1v * -3] = 8[v + -9] 14v + [-18 + 3v] = 8[v + -9] Reorder the terms: -18 + 14v + 3v = 8[v + -9] Combine like terms: 14v + 3v = 17v -18 + 17v = 8[v + -9] Reorder the terms: -18 + 17v = 8[-9 + v] -18 + 17v = [-9 * 8 + v * 8] -18 + 17v = [-72 + 8v] Solving -18 + 17v = -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. -18 + 17v + -8v = -72 + 8v + -8v Combine like terms: 17v + -8v = 9v -18 + 9v = -72 + 8v + -8v Combine like terms: 8v + -8v = 0 -18 + 9v = -72 + 0 -18 + 9v = -72 Add '18' to each side of the equation. -18 + 18 + 9v = -72 + 18 Combine like terms: -18 + 18 = 0 0 + 9v = -72 + 18 9v = -72 + 18 Combine like terms: -72 + 18 = -54 9v = -54 Divide each side by '9'. v = -6 Simplifying v = -6
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