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Simplifying 12 + 9 = 7v + -21 Combine like terms: 12 + 9 = 21 21 = 7v + -21 Reorder the terms: 21 = -21 + 7v Solving 21 = -21 + 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. 21 + -7v = -21 + 7v + -7v Combine like terms: 7v + -7v = 0 21 + -7v = -21 + 0 21 + -7v = -21 Add '-21' to each side of the equation. 21 + -21 + -7v = -21 + -21 Combine like terms: 21 + -21 = 0 0 + -7v = -21 + -21 -7v = -21 + -21 Combine like terms: -21 + -21 = -42 -7v = -42 Divide each side by '-7'. v = 6 Simplifying v = 6
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