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Simplifying -5(6v + -8) = -38 + -4v Reorder the terms: -5(-8 + 6v) = -38 + -4v (-8 * -5 + 6v * -5) = -38 + -4v (40 + -30v) = -38 + -4v Solving 40 + -30v = -38 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 40 + -30v + 4v = -38 + -4v + 4v Combine like terms: -30v + 4v = -26v 40 + -26v = -38 + -4v + 4v Combine like terms: -4v + 4v = 0 40 + -26v = -38 + 0 40 + -26v = -38 Add '-40' to each side of the equation. 40 + -40 + -26v = -38 + -40 Combine like terms: 40 + -40 = 0 0 + -26v = -38 + -40 -26v = -38 + -40 Combine like terms: -38 + -40 = -78 -26v = -78 Divide each side by '-26'. v = 3 Simplifying v = 3
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