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Simplifying -5(3y + -1v + -6) = 0 Reorder the terms: -5(-6 + -1v + 3y) = 0 (-6 * -5 + -1v * -5 + 3y * -5) = 0 (30 + 5v + -15y) = 0 Solving 30 + 5v + -15y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 5v + -30 + -15y = 0 + -30 Reorder the terms: 30 + -30 + 5v + -15y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 5v + -15y = 0 + -30 5v + -15y = 0 + -30 Combine like terms: 0 + -30 = -30 5v + -15y = -30 Add '15y' to each side of the equation. 5v + -15y + 15y = -30 + 15y Combine like terms: -15y + 15y = 0 5v + 0 = -30 + 15y 5v = -30 + 15y Divide each side by '5'. v = -6 + 3y Simplifying v = -6 + 3y
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