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Simplifying 3(v + 8) + -5v = 30 Reorder the terms: 3(8 + v) + -5v = 30 (8 * 3 + v * 3) + -5v = 30 (24 + 3v) + -5v = 30 Combine like terms: 3v + -5v = -2v 24 + -2v = 30 Solving 24 + -2v = 30 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 = 30 + -24 Combine like terms: 24 + -24 = 0 0 + -2v = 30 + -24 -2v = 30 + -24 Combine like terms: 30 + -24 = 6 -2v = 6 Divide each side by '-2'. v = -3 Simplifying v = -3
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