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Simplifying 9 = -7v + 4(v + 6) Reorder the terms: 9 = -7v + 4(6 + v) 9 = -7v + (6 * 4 + v * 4) 9 = -7v + (24 + 4v) Reorder the terms: 9 = 24 + -7v + 4v Combine like terms: -7v + 4v = -3v 9 = 24 + -3v Solving 9 = 24 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 9 + 3v = 24 + -3v + 3v Combine like terms: -3v + 3v = 0 9 + 3v = 24 + 0 9 + 3v = 24 Add '-9' to each side of the equation. 9 + -9 + 3v = 24 + -9 Combine like terms: 9 + -9 = 0 0 + 3v = 24 + -9 3v = 24 + -9 Combine like terms: 24 + -9 = 15 3v = 15 Divide each side by '3'. v = 5 Simplifying v = 5
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