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Simplifying 30 = -3v + 5(v + 2) Reorder the terms: 30 = -3v + 5(2 + v) 30 = -3v + (2 * 5 + v * 5) 30 = -3v + (10 + 5v) Reorder the terms: 30 = 10 + -3v + 5v Combine like terms: -3v + 5v = 2v 30 = 10 + 2v Solving 30 = 10 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 30 + -2v = 10 + 2v + -2v Combine like terms: 2v + -2v = 0 30 + -2v = 10 + 0 30 + -2v = 10 Add '-30' to each side of the equation. 30 + -30 + -2v = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -2v = 10 + -30 -2v = 10 + -30 Combine like terms: 10 + -30 = -20 -2v = -20 Divide each side by '-2'. v = 10 Simplifying v = 10
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