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Simplifying 3 + 2(2v + -1) = 2(3v + -8) + 4v Reorder the terms: 3 + 2(-1 + 2v) = 2(3v + -8) + 4v 3 + (-1 * 2 + 2v * 2) = 2(3v + -8) + 4v 3 + (-2 + 4v) = 2(3v + -8) + 4v Combine like terms: 3 + -2 = 1 1 + 4v = 2(3v + -8) + 4v Reorder the terms: 1 + 4v = 2(-8 + 3v) + 4v 1 + 4v = (-8 * 2 + 3v * 2) + 4v 1 + 4v = (-16 + 6v) + 4v Combine like terms: 6v + 4v = 10v 1 + 4v = -16 + 10v Solving 1 + 4v = -16 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 1 + 4v + -10v = -16 + 10v + -10v Combine like terms: 4v + -10v = -6v 1 + -6v = -16 + 10v + -10v Combine like terms: 10v + -10v = 0 1 + -6v = -16 + 0 1 + -6v = -16 Add '-1' to each side of the equation. 1 + -1 + -6v = -16 + -1 Combine like terms: 1 + -1 = 0 0 + -6v = -16 + -1 -6v = -16 + -1 Combine like terms: -16 + -1 = -17 -6v = -17 Divide each side by '-6'. v = 2.833333333 Simplifying v = 2.833333333
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