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Simplifying 30.5 + -3v = -2(8v + 7) Reorder the terms: 30.5 + -3v = -2(7 + 8v) 30.5 + -3v = (7 * -2 + 8v * -2) 30.5 + -3v = (-14 + -16v) Solving 30.5 + -3v = -14 + -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. 30.5 + -3v + 16v = -14 + -16v + 16v Combine like terms: -3v + 16v = 13v 30.5 + 13v = -14 + -16v + 16v Combine like terms: -16v + 16v = 0 30.5 + 13v = -14 + 0 30.5 + 13v = -14 Add '-30.5' to each side of the equation. 30.5 + -30.5 + 13v = -14 + -30.5 Combine like terms: 30.5 + -30.5 = 0.0 0.0 + 13v = -14 + -30.5 13v = -14 + -30.5 Combine like terms: -14 + -30.5 = -44.5 13v = -44.5 Divide each side by '13'. v = -3.423076923 Simplifying v = -3.423076923
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