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Simplifying 3(v + 4) + -5v = 16 Reorder the terms: 3(4 + v) + -5v = 16 (4 * 3 + v * 3) + -5v = 16 (12 + 3v) + -5v = 16 Combine like terms: 3v + -5v = -2v 12 + -2v = 16 Solving 12 + -2v = 16 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -2v = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -2v = 16 + -12 -2v = 16 + -12 Combine like terms: 16 + -12 = 4 -2v = 4 Divide each side by '-2'. v = -2 Simplifying v = -2
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