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Simplifying 7(v + 3) + -4v = 27 Reorder the terms: 7(3 + v) + -4v = 27 (3 * 7 + v * 7) + -4v = 27 (21 + 7v) + -4v = 27 Combine like terms: 7v + -4v = 3v 21 + 3v = 27 Solving 21 + 3v = 27 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 3v = 27 + -21 Combine like terms: 21 + -21 = 0 0 + 3v = 27 + -21 3v = 27 + -21 Combine like terms: 27 + -21 = 6 3v = 6 Divide each side by '3'. v = 2 Simplifying v = 2
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