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Simplifying 7v + 9 = 4(v + 3) Reorder the terms: 9 + 7v = 4(v + 3) Reorder the terms: 9 + 7v = 4(3 + v) 9 + 7v = (3 * 4 + v * 4) 9 + 7v = (12 + 4v) Solving 9 + 7v = 12 + 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 + 7v + -4v = 12 + 4v + -4v Combine like terms: 7v + -4v = 3v 9 + 3v = 12 + 4v + -4v Combine like terms: 4v + -4v = 0 9 + 3v = 12 + 0 9 + 3v = 12 Add '-9' to each side of the equation. 9 + -9 + 3v = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 3v = 12 + -9 3v = 12 + -9 Combine like terms: 12 + -9 = 3 3v = 3 Divide each side by '3'. v = 1 Simplifying v = 1
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