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Simplifying 3(v + 8) + -5v = 14 Reorder the terms: 3(8 + v) + -5v = 14 (8 * 3 + v * 3) + -5v = 14 (24 + 3v) + -5v = 14 Combine like terms: 3v + -5v = -2v 24 + -2v = 14 Solving 24 + -2v = 14 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 + -2v = 14 + -24 Combine like terms: 24 + -24 = 0 0 + -2v = 14 + -24 -2v = 14 + -24 Combine like terms: 14 + -24 = -10 -2v = -10 Divide each side by '-2'. v = 5 Simplifying v = 5
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