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Simplifying 3v + 1 + -2(-8v + -2) = 3(v + -3) Reorder the terms: 3v + 1 + -2(-2 + -8v) = 3(v + -3) 3v + 1 + (-2 * -2 + -8v * -2) = 3(v + -3) 3v + 1 + (4 + 16v) = 3(v + -3) Reorder the terms: 1 + 4 + 3v + 16v = 3(v + -3) Combine like terms: 1 + 4 = 5 5 + 3v + 16v = 3(v + -3) Combine like terms: 3v + 16v = 19v 5 + 19v = 3(v + -3) Reorder the terms: 5 + 19v = 3(-3 + v) 5 + 19v = (-3 * 3 + v * 3) 5 + 19v = (-9 + 3v) Solving 5 + 19v = -9 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 5 + 19v + -3v = -9 + 3v + -3v Combine like terms: 19v + -3v = 16v 5 + 16v = -9 + 3v + -3v Combine like terms: 3v + -3v = 0 5 + 16v = -9 + 0 5 + 16v = -9 Add '-5' to each side of the equation. 5 + -5 + 16v = -9 + -5 Combine like terms: 5 + -5 = 0 0 + 16v = -9 + -5 16v = -9 + -5 Combine like terms: -9 + -5 = -14 16v = -14 Divide each side by '16'. v = -0.875 Simplifying v = -0.875
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