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Simplifying -4(v + 3) = -12 + -7v Reorder the terms: -4(3 + v) = -12 + -7v (3 * -4 + v * -4) = -12 + -7v (-12 + -4v) = -12 + -7v Add '12' to each side of the equation. -12 + 12 + -4v = -12 + 12 + -7v Combine like terms: -12 + 12 = 0 0 + -4v = -12 + 12 + -7v -4v = -12 + 12 + -7v Combine like terms: -12 + 12 = 0 -4v = 0 + -7v -4v = -7v Solving -4v = -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -4v + 7v = -7v + 7v Combine like terms: -4v + 7v = 3v 3v = -7v + 7v Combine like terms: -7v + 7v = 0 3v = 0 Divide each side by '3'. v = 0 Simplifying v = 0
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