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Simplifying -5v + 3(v + 5) = 27 Reorder the terms: -5v + 3(5 + v) = 27 -5v + (5 * 3 + v * 3) = 27 -5v + (15 + 3v) = 27 Reorder the terms: 15 + -5v + 3v = 27 Combine like terms: -5v + 3v = -2v 15 + -2v = 27 Solving 15 + -2v = 27 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2v = 27 + -15 Combine like terms: 15 + -15 = 0 0 + -2v = 27 + -15 -2v = 27 + -15 Combine like terms: 27 + -15 = 12 -2v = 12 Divide each side by '-2'. v = -6 Simplifying v = -6
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