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Simplifying 38 + -4v = -5(v + -6) Reorder the terms: 38 + -4v = -5(-6 + v) 38 + -4v = (-6 * -5 + v * -5) 38 + -4v = (30 + -5v) Solving 38 + -4v = 30 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 38 + -4v + 5v = 30 + -5v + 5v Combine like terms: -4v + 5v = 1v 38 + 1v = 30 + -5v + 5v Combine like terms: -5v + 5v = 0 38 + 1v = 30 + 0 38 + 1v = 30 Add '-38' to each side of the equation. 38 + -38 + 1v = 30 + -38 Combine like terms: 38 + -38 = 0 0 + 1v = 30 + -38 1v = 30 + -38 Combine like terms: 30 + -38 = -8 1v = -8 Divide each side by '1'. v = -8 Simplifying v = -8
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