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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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