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Simplifying -4(-6y + 2v + -3) = 0 Reorder the terms: -4(-3 + 2v + -6y) = 0 (-3 * -4 + 2v * -4 + -6y * -4) = 0 (12 + -8v + 24y) = 0 Solving 12 + -8v + 24y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -8v + -12 + 24y = 0 + -12 Reorder the terms: 12 + -12 + -8v + 24y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -8v + 24y = 0 + -12 -8v + 24y = 0 + -12 Combine like terms: 0 + -12 = -12 -8v + 24y = -12 Add '-24y' to each side of the equation. -8v + 24y + -24y = -12 + -24y Combine like terms: 24y + -24y = 0 -8v + 0 = -12 + -24y -8v = -12 + -24y Divide each side by '-8'. v = 1.5 + 3y Simplifying v = 1.5 + 3y
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