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Simplifying 8 + -1(v + -6) = 8(2v + 3) Reorder the terms: 8 + -1(-6 + v) = 8(2v + 3) 8 + (-6 * -1 + v * -1) = 8(2v + 3) 8 + (6 + -1v) = 8(2v + 3) Combine like terms: 8 + 6 = 14 14 + -1v = 8(2v + 3) Reorder the terms: 14 + -1v = 8(3 + 2v) 14 + -1v = (3 * 8 + 2v * 8) 14 + -1v = (24 + 16v) Solving 14 + -1v = 24 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. 14 + -1v + -16v = 24 + 16v + -16v Combine like terms: -1v + -16v = -17v 14 + -17v = 24 + 16v + -16v Combine like terms: 16v + -16v = 0 14 + -17v = 24 + 0 14 + -17v = 24 Add '-14' to each side of the equation. 14 + -14 + -17v = 24 + -14 Combine like terms: 14 + -14 = 0 0 + -17v = 24 + -14 -17v = 24 + -14 Combine like terms: 24 + -14 = 10 -17v = 10 Divide each side by '-17'. v = -0.5882352941 Simplifying v = -0.5882352941
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