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Simplifying -3(4 + -5v) = -12 + 6v (4 * -3 + -5v * -3) = -12 + 6v (-12 + 15v) = -12 + 6v Add '12' to each side of the equation. -12 + 12 + 15v = -12 + 12 + 6v Combine like terms: -12 + 12 = 0 0 + 15v = -12 + 12 + 6v 15v = -12 + 12 + 6v Combine like terms: -12 + 12 = 0 15v = 0 + 6v 15v = 6v Solving 15v = 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 15v + -6v = 6v + -6v Combine like terms: 15v + -6v = 9v 9v = 6v + -6v Combine like terms: 6v + -6v = 0 9v = 0 Divide each side by '9'. v = 0 Simplifying v = 0
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