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Simplifying 12 + v = 6 + 7v Solving 12 + v = 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 + v + -7v = 6 + 7v + -7v Combine like terms: v + -7v = -6v 12 + -6v = 6 + 7v + -7v Combine like terms: 7v + -7v = 0 12 + -6v = 6 + 0 12 + -6v = 6 Add '-12' to each side of the equation. 12 + -12 + -6v = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -6v = 6 + -12 -6v = 6 + -12 Combine like terms: 6 + -12 = -6 -6v = -6 Divide each side by '-6'. v = 1 Simplifying v = 1
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