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Simplifying 4v + 12 = 7v + -6 Reorder the terms: 12 + 4v = 7v + -6 Reorder the terms: 12 + 4v = -6 + 7v Solving 12 + 4v = -6 + 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. 12 + 4v + -7v = -6 + 7v + -7v Combine like terms: 4v + -7v = -3v 12 + -3v = -6 + 7v + -7v Combine like terms: 7v + -7v = 0 12 + -3v = -6 + 0 12 + -3v = -6 Add '-12' to each side of the equation. 12 + -12 + -3v = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -3v = -6 + -12 -3v = -6 + -12 Combine like terms: -6 + -12 = -18 -3v = -18 Divide each side by '-3'. v = 6 Simplifying v = 6
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