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Simplifying 5(v + 8) + -2v + -16 = 0 Reorder the terms: 5(8 + v) + -2v + -16 = 0 (8 * 5 + v * 5) + -2v + -16 = 0 (40 + 5v) + -2v + -16 = 0 Reorder the terms: 40 + -16 + 5v + -2v = 0 Combine like terms: 40 + -16 = 24 24 + 5v + -2v = 0 Combine like terms: 5v + -2v = 3v 24 + 3v = 0 Solving 24 + 3v = 0 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 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 3v = 0 + -24 3v = 0 + -24 Combine like terms: 0 + -24 = -24 3v = -24 Divide each side by '3'. v = -8 Simplifying v = -8
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