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Simplifying -7v + 4(v + 6) = 27 Reorder the terms: -7v + 4(6 + v) = 27 -7v + (6 * 4 + v * 4) = 27 -7v + (24 + 4v) = 27 Reorder the terms: 24 + -7v + 4v = 27 Combine like terms: -7v + 4v = -3v 24 + -3v = 27 Solving 24 + -3v = 27 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -3v = 27 + -24 Combine like terms: 24 + -24 = 0 0 + -3v = 27 + -24 -3v = 27 + -24 Combine like terms: 27 + -24 = 3 -3v = 3 Divide each side by '-3'. v = -1 Simplifying v = -1
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