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