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Simplifying 38 + 4v = 5(2v + -6) Reorder the terms: 38 + 4v = 5(-6 + 2v) 38 + 4v = (-6 * 5 + 2v * 5) 38 + 4v = (-30 + 10v) Solving 38 + 4v = -30 + 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. 38 + 4v + -10v = -30 + 10v + -10v Combine like terms: 4v + -10v = -6v 38 + -6v = -30 + 10v + -10v Combine like terms: 10v + -10v = 0 38 + -6v = -30 + 0 38 + -6v = -30 Add '-38' to each side of the equation. 38 + -38 + -6v = -30 + -38 Combine like terms: 38 + -38 = 0 0 + -6v = -30 + -38 -6v = -30 + -38 Combine like terms: -30 + -38 = -68 -6v = -68 Divide each side by '-6'. v = 11.33333333 Simplifying v = 11.33333333
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