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Simplifying 4(3 + -6v) + -7v = 12 + -4v (3 * 4 + -6v * 4) + -7v = 12 + -4v (12 + -24v) + -7v = 12 + -4v Combine like terms: -24v + -7v = -31v 12 + -31v = 12 + -4v Add '-12' to each side of the equation. 12 + -12 + -31v = 12 + -12 + -4v Combine like terms: 12 + -12 = 0 0 + -31v = 12 + -12 + -4v -31v = 12 + -12 + -4v Combine like terms: 12 + -12 = 0 -31v = 0 + -4v -31v = -4v Solving -31v = -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -31v + 4v = -4v + 4v Combine like terms: -31v + 4v = -27v -27v = -4v + 4v Combine like terms: -4v + 4v = 0 -27v = 0 Divide each side by '-27'. v = 0 Simplifying v = 0
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