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Simplifying 9 = -7v + 3(v + 7) Reorder the terms: 9 = -7v + 3(7 + v) 9 = -7v + (7 * 3 + v * 3) 9 = -7v + (21 + 3v) Reorder the terms: 9 = 21 + -7v + 3v Combine like terms: -7v + 3v = -4v 9 = 21 + -4v Solving 9 = 21 + -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. 9 + 4v = 21 + -4v + 4v Combine like terms: -4v + 4v = 0 9 + 4v = 21 + 0 9 + 4v = 21 Add '-9' to each side of the equation. 9 + -9 + 4v = 21 + -9 Combine like terms: 9 + -9 = 0 0 + 4v = 21 + -9 4v = 21 + -9 Combine like terms: 21 + -9 = 12 4v = 12 Divide each side by '4'. v = 3 Simplifying v = 3
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