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Simplifying 4v + 9 = 7v + -21 Reorder the terms: 9 + 4v = 7v + -21 Reorder the terms: 9 + 4v = -21 + 7v Solving 9 + 4v = -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. 9 + 4v + -7v = -21 + 7v + -7v Combine like terms: 4v + -7v = -3v 9 + -3v = -21 + 7v + -7v Combine like terms: 7v + -7v = 0 9 + -3v = -21 + 0 9 + -3v = -21 Add '-9' to each side of the equation. 9 + -9 + -3v = -21 + -9 Combine like terms: 9 + -9 = 0 0 + -3v = -21 + -9 -3v = -21 + -9 Combine like terms: -21 + -9 = -30 -3v = -30 Divide each side by '-3'. v = 10 Simplifying v = 10
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