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Simplifying -3(5y + -4v + -6) = 0 Reorder the terms: -3(-6 + -4v + 5y) = 0 (-6 * -3 + -4v * -3 + 5y * -3) = 0 (18 + 12v + -15y) = 0 Solving 18 + 12v + -15y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 12v + -18 + -15y = 0 + -18 Reorder the terms: 18 + -18 + 12v + -15y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 12v + -15y = 0 + -18 12v + -15y = 0 + -18 Combine like terms: 0 + -18 = -18 12v + -15y = -18 Add '15y' to each side of the equation. 12v + -15y + 15y = -18 + 15y Combine like terms: -15y + 15y = 0 12v + 0 = -18 + 15y 12v = -18 + 15y Divide each side by '12'. v = -1.5 + 1.25y Simplifying v = -1.5 + 1.25y
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